3455776037376 has 800 divisors, whose sum is σ = 11633859135360. Its totient is φ = 1013899493376.

The previous prime is 3455776037321. The next prime is 3455776037383. The reversal of 3455776037376 is 6737306775543.

3455776037376 is a `hidden beast` number, since 3 + 4 + 557 + 7 + 6 + 0 + 3 + 7 + 3 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297699021 + ... + 1297701683.

Almost surely, 2^{3455776037376} is an apocalyptic number.

3455776037376 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 3455776037376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816929567680).

3455776037376 is an abundant number, since it is smaller than the sum of its proper divisors (8178083097984).

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

3455776037376 is a wasteful number, since it uses less digits than its factorization.

3455776037376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 233377200, while the sum is 63.

The spelling of 3455776037376 in words is "three trillion, four hundred fifty-five billion, seven hundred seventy-six million, thirty-seven thousand, three hundred seventy-six".