354987004800 has 384 divisors, whose sum is σ = 1262169216000. Its totient is φ = 87423508480.

The previous prime is 354987004787. The next prime is 354987004807. The reversal of 354987004800 is 8400789453.

354987004800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 354987004800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354987004807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6375481 + ... + 6430919.

It is an arithmetic number, because the mean of its divisors is an integer number (3286899000).

Almost surely, 2^354987004800 is an apocalyptic number.

354987004800 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 354987004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631084608000).

354987004800 is an abundant number, since it is smaller than the sum of its proper divisors (907182211200).

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

354987004800 is a wasteful number, since it uses less digits than its factorization.

354987004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55518 (or 55501 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 354987004800 in words is "three hundred fifty-four billion, nine hundred eighty-seven million, four thousand, eight hundred".