3475826640 has 800 divisors, whose sum is σ = 14761055232. Its totient is φ = 752716800.

The previous prime is 3475826621. The next prime is 3475826687. The reversal of 3475826640 is 466285743.

3475826640 is a `hidden beast` number, since 3 + 4 + 7 + 582 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 112123425 + ... + 112123455.

Almost surely, 2^3475826640 is an apocalyptic number.

3475826640 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 3475826640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380527616).

3475826640 is an abundant number, since it is smaller than the sum of its proper divisors (11285228592).

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

3475826640 is a wasteful number, since it uses less digits than its factorization.

3475826640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3475826640 is about 58956.1416648003. The cubic root of 3475826640 is about 1514.7909524322.

The spelling of 3475826640 in words is "three billion, four hundred seventy-five million, eight hundred twenty-six thousand, six hundred forty".