33930193920 has 704 divisors, whose sum is σ = 138375889920. Its totient is φ = 6908018688.

The previous prime is 33930193909. The next prime is 33930193943. The reversal of 33930193920 is 2939103933.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34728472 + ... + 34729448.

Almost surely, 2^33930193920 is an apocalyptic number.

33930193920 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 33930193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69187944960).

33930193920 is an abundant number, since it is smaller than the sum of its proper divisors (104445696000).

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

33930193920 is a wasteful number, since it uses less digits than its factorization.

33930193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 42.

The spelling of 33930193920 in words is "thirty-three billion, nine hundred thirty million, one hundred ninety-three thousand, nine hundred twenty".