33878625000 has 448 divisors, whose sum is σ = 118798479360. Its totient is φ = 7980000000.

The previous prime is 33878624999. The next prime is 33878625041. The reversal of 33878625000 is 52687833.

It is a super-2 number, since 2×33878625000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 177374905 + ... + 177375095.

Almost surely, 2^33878625000 is an apocalyptic number.

33878625000 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 33878625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59399239680).

33878625000 is an abundant number, since it is smaller than the sum of its proper divisors (84919854360).

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

33878625000 is a wasteful number, since it uses less digits than its factorization.

33878625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 33878625000 in words is "thirty-three billion, eight hundred seventy-eight million, six hundred twenty-five thousand".