352604678400 has 1296 divisors, whose sum is σ = 1424832304896. Its totient is φ = 82616647680.

The previous prime is 352604678399. The next prime is 352604678431. The reversal of 352604678400 is 4876406253.

352604678400 is a `hidden beast` number, since 3 + 52 + 60 + 467 + 84 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1513324684 + ... + 1513324916.

Almost surely, 2^352604678400 is an apocalyptic number.

352604678400 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 352604678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712416152448).

352604678400 is an abundant number, since it is smaller than the sum of its proper divisors (1072227626496).

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

352604678400 is a wasteful number, since it uses less digits than its factorization.

352604678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 352604678400 in words is "three hundred fifty-two billion, six hundred four million, six hundred seventy-eight thousand, four hundred".