354238466400 has 1080 divisors, whose sum is σ = 1599037436304. Its totient is φ = 74724249600.

The previous prime is 354238466251. The next prime is 354238466429. The reversal of 354238466400 is 4664832453.

354238466400 is a `hidden beast` number, since 3 + 5 + 4 + 238 + 4 + 6 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×354238466400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 76656090 + ... + 76660710.

Almost surely, 2^354238466400 is an apocalyptic number.

354238466400 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 354238466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799518718152).

354238466400 is an abundant number, since it is smaller than the sum of its proper divisors (1244798969904).

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

354238466400 is a wasteful number, since it uses less digits than its factorization.

354238466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 354238466400 in words is "three hundred fifty-four billion, two hundred thirty-eight million, four hundred sixty-six thousand, four hundred".