32943968400 has 480 divisors, whose sum is σ = 124267601920. Its totient is φ = 7304048640.

The previous prime is 32943968383. The next prime is 32943968411. The reversal of 32943968400 is 486934923.

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 32943968400.

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, 80547396 + ... + 80547804.

Almost surely, 2^32943968400 is an apocalyptic number.

32943968400 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 32943968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62133800960).

32943968400 is an abundant number, since it is smaller than the sum of its proper divisors (91323633520).

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

32943968400 is a wasteful number, since it uses less digits than its factorization.

32943968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 32943968400 in words is "thirty-two billion, nine hundred forty-three million, nine hundred sixty-eight thousand, four hundred".