3479018400 has 864 divisors, whose sum is σ = 15014039040. Its totient is φ = 746496000.

The previous prime is 3479018399. The next prime is 3479018447. The reversal of 3479018400 is 48109743.

It is a happy number.

3479018400 is a `hidden beast` number, since 3 + 479 + 0 + 184 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31917546 + ... + 31917654.

It is an arithmetic number, because the mean of its divisors is an integer number (17377360).

Almost surely, 2^3479018400 is an apocalyptic number.

3479018400 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 3479018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507019520).

3479018400 is an abundant number, since it is smaller than the sum of its proper divisors (11535020640).

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

3479018400 is a wasteful number, since it uses less digits than its factorization.

3479018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3479018400 is about 58983.2043890462. The cubic root of 3479018400 is about 1515.2544747844.

The spelling of 3479018400 in words is "three billion, four hundred seventy-nine million, eighteen thousand, four hundred".