354745747200 has 1296 divisors, whose sum is σ = 1384380727296. Its totient is φ = 79427174400.

The previous prime is 354745747183. The next prime is 354745747211. The reversal of 354745747200 is 2747547453.

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 354745747200.

It is a congruent number.

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, 2793273537 + ... + 2793273663.

Almost surely, 2^354745747200 is an apocalyptic number.

354745747200 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 354745747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692190363648).

354745747200 is an abundant number, since it is smaller than the sum of its proper divisors (1029634980096).

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

354745747200 is a wasteful number, since it uses less digits than its factorization.

354745747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 48.

The spelling of 354745747200 in words is "three hundred fifty-four billion, seven hundred forty-five million, seven hundred forty-seven thousand, two hundred".