352638074880 has 1440 divisors, whose sum is σ = 1577337499584. Its totient is φ = 73383542784.

The previous prime is 352638074849. The next prime is 352638074903. The reversal of 352638074880 is 88470836253.

352638074880 is a `hidden beast` number, since 3 + 526 + 38 + 0 + 7 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×352638074880² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4830658524 + ... + 4830658596.

Almost surely, 2^352638074880 is an apocalyptic number.

352638074880 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 352638074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788668749792).

352638074880 is an abundant number, since it is smaller than the sum of its proper divisors (1224699424704).

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

352638074880 is an frugal number, since it uses more digits than its factorization.

352638074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 352638074880 in words is "three hundred fifty-two billion, six hundred thirty-eight million, seventy-four thousand, eight hundred eighty".