32794141920 has 384 divisors, whose sum is σ = 112501146240. Its totient is φ = 8009809920.

The previous prime is 32794141901. The next prime is 32794141927. The reversal of 32794141920 is 2914149723.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32794141927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21115864 + ... + 21117416.

It is an arithmetic number, because the mean of its divisors is an integer number (292971735).

Almost surely, 2^32794141920 is an apocalyptic number.

32794141920 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 32794141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56250573120).

32794141920 is an abundant number, since it is smaller than the sum of its proper divisors (79707004320).

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

32794141920 is a wasteful number, since it uses less digits than its factorization.

32794141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 32794141920 in words is "thirty-two billion, seven hundred ninety-four million, one hundred forty-one thousand, nine hundred twenty".