3412638720 has 264 divisors, whose sum is σ = 12211255680. Its totient is φ = 880312320.

The previous prime is 3412638703. The next prime is 3412638737. The reversal of 3412638720 is 278362143.

It is a happy number.

3412638720 is a `hidden beast` number, since 3 + 4 + 12 + 638 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3412638703) and next prime (3412638737).

It is a super-2 number, since 2×3412638720² = 23292206066486476800, 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427286 + ... + 1429674.

Almost surely, 2^3412638720 is an apocalyptic number.

3412638720 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 3412638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105627840).

3412638720 is an abundant number, since it is smaller than the sum of its proper divisors (8798616960).

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

3412638720 is a wasteful number, since it uses less digits than its factorization.

3412638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3412638720 is about 58417.7945492638. The cubic root of 3412638720 is about 1505.5555055038. Note that the first 4 decimals are identical.

The spelling of 3412638720 in words is "three billion, four hundred twelve million, six hundred thirty-eight thousand, seven hundred twenty".