33204978000 has 480 divisors, whose sum is σ = 127375597440. Its totient is φ = 8331724800.

The previous prime is 33204977987. The next prime is 33204978061. The reversal of 33204978000 is 87940233.

It is a super-2 number, since 2×33204978000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8259991 + ... + 8264009.

It is an arithmetic number, because the mean of its divisors is an integer number (265365828).

Almost surely, 2^33204978000 is an apocalyptic number.

33204978000 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 33204978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63687798720).

33204978000 is an abundant number, since it is smaller than the sum of its proper divisors (94170619440).

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

33204978000 is a wasteful number, since it uses less digits than its factorization.

33204978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 33204978000 in words is "thirty-three billion, two hundred four million, nine hundred seventy-eight thousand".