3474459878400 has 1584 divisors, whose sum is σ = 14959598885504. Its totient is φ = 782566686720.

The previous prime is 3474459878381. The next prime is 3474459878441. The reversal of 3474459878400 is 48789544743.

3474459878400 is a `hidden beast` number, since 3 + 4 + 74 + 4 + 5 + 98 + 78 + 400 = 666.

It is a super-2 number, since 2×3474459878400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3178828254 + ... + 3178829346.

Almost surely, 2^{3474459878400} is an apocalyptic number.

3474459878400 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 3474459878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479799442752).

3474459878400 is an abundant number, since it is smaller than the sum of its proper divisors (11485139007104).

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

3474459878400 is a wasteful number, since it uses less digits than its factorization.

3474459878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 3474459878400 in words is "three trillion, four hundred seventy-four billion, four hundred fifty-nine million, eight hundred seventy-eight thousand, four hundred".