32220902400 has 1056 divisors, whose sum is σ = 125005213440. Its totient is φ = 7266631680.

The previous prime is 32220902353. The next prime is 32220902401. The reversal of 32220902400 is 420902223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32220902401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870835182 + ... + 870835218.

Almost surely, 2^32220902400 is an apocalyptic number.

32220902400 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 32220902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62502606720).

32220902400 is an abundant number, since it is smaller than the sum of its proper divisors (92784311040).

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

32220902400 is a wasteful number, since it uses less digits than its factorization.

32220902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 32220902400 in words is "thirty-two billion, two hundred twenty million, nine hundred two thousand, four hundred".