3455878154400 has 1188 divisors, whose sum is σ = 14730892189902. Its totient is φ = 789385927680.

The previous prime is 3455878154389. The next prime is 3455878154507. The reversal of 3455878154400 is 44518785543.

It is a happy number.

3455878154400 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 87 + 8 + 154 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3105475719696 + 350402434704 = 1762236^2 + 591948^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 197 ways as a sum of consecutive naturals, for example, 2314720054 + ... + 2314721546.

Almost surely, 2^{3455878154400} is an apocalyptic number.

3455878154400 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 3455878154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365446094951).

3455878154400 is an abundant number, since it is smaller than the sum of its proper divisors (11275014035502).

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

3455878154400 is an equidigital number, since it uses as much as digits as its factorization.

3455878154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 3455878154400 in words is "three trillion, four hundred fifty-five billion, eight hundred seventy-eight million, one hundred fifty-four thousand, four hundred".