3410720040 has 256 divisors, whose sum is σ = 12638545920. Its totient is φ = 717050880.

The previous prime is 3410720003. The next prime is 3410720059. The reversal of 3410720040 is 400270143.

3410720040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3410720040² = 23266022382515203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3410719989 and 3410720016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5972955 + ... + 5973525.

It is an arithmetic number, because the mean of its divisors is an integer number (49369320).

Almost surely, 2^3410720040 is an apocalyptic number.

3410720040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319272960).

3410720040 is an abundant number, since it is smaller than the sum of its proper divisors (9227825880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3410720040 is a wasteful number, since it uses less digits than its factorization.

3410720040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3410720040 is about 58401.3701894057. The cubic root of 3410720040 is about 1505.2732976085.

Adding to 3410720040 its reverse (400270143), we get a palindrome (3810990183).

The spelling of 3410720040 in words is "three billion, four hundred ten million, seven hundred twenty thousand, forty".