3400032 has 48 divisors (see below), whose sum is σ = 9035712. Its totient is φ = 1119360.

The previous prime is 3399997. The next prime is 3400043. The reversal of 3400032 is 2300043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3399990 and 3400017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10107 + ... + 10437.

It is an arithmetic number, because the mean of its divisors is an integer number (188244).

Almost surely, 2^3400032 is an apocalyptic number.

3400032 is a gapful number since it is divisible by the number (32) 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 3400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517856).

3400032 is an abundant number, since it is smaller than the sum of its proper divisors (5635680).

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

3400032 is a wasteful number, since it uses less digits than its factorization.

3400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3400032 is about 1843.9175686565. The cubic root of 3400032 is about 150.3699313663.

Adding to 3400032 its reverse (2300043), we get a palindrome (5700075).

The spelling of 3400032 in words is "three million, four hundred thousand, thirty-two".