3462137856 has 384 divisors, whose sum is σ = 11321856000. Its totient is φ = 1040449536.

The previous prime is 3462137851. The next prime is 3462137857. The reversal of 3462137856 is 6587312643.

3462137856 is a `hidden beast` number, since 3 + 462 + 137 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3462137851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27260865 + ... + 27260991.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^3462137856 is an apocalyptic number.

3462137856 is a gapful number since it is divisible by the number (36) 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 3462137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

3462137856 is an abundant number, since it is smaller than the sum of its proper divisors (7859718144).

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

3462137856 is a wasteful number, since it uses less digits than its factorization.

3462137856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3462137856 is about 58839.9341943888. The cubic root of 3462137856 is about 1512.7997784415.

The spelling of 3462137856 in words is "three billion, four hundred sixty-two million, one hundred thirty-seven thousand, eight hundred fifty-six".