33900273792 has 768 divisors, whose sum is σ = 129495609600. Its totient is φ = 8539914240.

The previous prime is 33900273779. The next prime is 33900273793. The reversal of 33900273792 is 29737200933.

It is a super-2 number, since 2×33900273792² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33900273793) 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, 108307428 + ... + 108307740.

It is an arithmetic number, because the mean of its divisors is an integer number (168614075).

Almost surely, 2^33900273792 is an apocalyptic number.

33900273792 is a gapful number since it is divisible by the number (32) 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 33900273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64747804800).

33900273792 is an abundant number, since it is smaller than the sum of its proper divisors (95595335808).

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

33900273792 is a wasteful number, since it uses less digits than its factorization.

33900273792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 33900273792 in words is "thirty-three billion, nine hundred million, two hundred seventy-three thousand, seven hundred ninety-two".