3468902976 has 672 divisors, whose sum is σ = 13592616960. Its totient is φ = 841881600.

The previous prime is 3468902971. The next prime is 3468902993. The reversal of 3468902976 is 6792098643.

It is a happy number.

3468902976 is a `hidden beast` number, since 3 + 468 + 90 + 2 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3468902971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111900081 + ... + 111900111.

Almost surely, 2^3468902976 is an apocalyptic number.

3468902976 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 3468902976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796308480).

3468902976 is an abundant number, since it is smaller than the sum of its proper divisors (10123713984).

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

3468902976 is a wasteful number, since it uses less digits than its factorization.

3468902976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3468902976 is about 58897.3936265434. The cubic root of 3468902976 is about 1513.7844892056.

It can be divided in two parts, 346890 and 2976, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 3468902976 in words is "three billion, four hundred sixty-eight million, nine hundred two thousand, nine hundred seventy-six".