3479454014400 has 2688 divisors, whose sum is σ = 16198518784000. Its totient is φ = 730834513920.

The previous prime is 3479454014353. The next prime is 3479454014437. The reversal of 3479454014400 is 44104549743.

3479454014400 is a `hidden beast` number, since 3 + 4 + 7 + 94 + 540 + 14 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15602932689 + ... + 15602932911.

Almost surely, 2^{3479454014400} is an apocalyptic number.

3479454014400 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 3479454014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099259392000).

3479454014400 is an abundant number, since it is smaller than the sum of its proper divisors (12719064769600).

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

3479454014400 is an equidigital number, since it uses as much as digits as its factorization.

3479454014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3479454014400 in words is "three trillion, four hundred seventy-nine billion, four hundred fifty-four million, fourteen thousand, four hundred".