342648524400 has 480 divisors, whose sum is σ = 1355067936768. Its totient is φ = 72072806400.

The previous prime is 342648524399. The next prime is 342648524423. The reversal of 342648524400 is 4425846243.

It is a super-4 number, since 4×342648524400⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36795745 + ... + 36805055.

Almost surely, 2^342648524400 is an apocalyptic number.

342648524400 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 342648524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677533968384).

342648524400 is an abundant number, since it is smaller than the sum of its proper divisors (1012419412368).

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

342648524400 is a wasteful number, since it uses less digits than its factorization.

342648524400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 342648524400 in words is "three hundred forty-two billion, six hundred forty-eight million, five hundred twenty-four thousand, four hundred".