3407624640 has 420 divisors, whose sum is σ = 14105799576. Its totient is φ = 778595328.

The previous prime is 3407624609. The next prime is 3407624651. The reversal of 3407624640 is 464267043.

3407624640 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 6 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×3407624640² = 23223811374270259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3407624595 and 3407624604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1268739 + ... + 1271421.

Almost surely, 2^3407624640 is an apocalyptic number.

3407624640 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 3407624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052899788).

3407624640 is an abundant number, since it is smaller than the sum of its proper divisors (10698174936).

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

3407624640 is a wasteful number, since it uses less digits than its factorization.

3407624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3407624640 is about 58374.8630833512. The cubic root of 3407624640 is about 1504.8177893702.

The spelling of 3407624640 in words is "three billion, four hundred seven million, six hundred twenty-four thousand, six hundred forty".