3378752000 has 320 divisors, whose sum is σ = 9437395968. Its totient is φ = 1198080000.

The previous prime is 3378751993. The next prime is 3378752011. The reversal of 3378752000 is 2578733.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3378752000² = 22831930155008000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25791935 + ... + 25792065.

Almost surely, 2^3378752000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718697984).

3378752000 is an abundant number, since it is smaller than the sum of its proper divisors (6058643968).

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

3378752000 is a wasteful number, since it uses less digits than its factorization.

3378752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 3378752000 is about 58127.0332977695. The cubic root of 3378752000 is about 1500.5556459981. Note that the first 3 decimals are identical.

The spelling of 3378752000 in words is "three billion, three hundred seventy-eight million, seven hundred fifty-two thousand".