3370752000 has 1152 divisors, whose sum is σ = 15944947200. Its totient is φ = 663552000.

The previous prime is 3370751957. The next prime is 3370752067. The reversal of 3370752000 is 2570733.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3370752000² = 22723938091008000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177407991 + ... + 177408009.

It is an arithmetic number, because the mean of its divisors is an integer number (13841100).

Almost surely, 2^3370752000 is an apocalyptic number.

3370752000 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 3370752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972473600).

3370752000 is an abundant number, since it is smaller than the sum of its proper divisors (12574195200).

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

3370752000 is a wasteful number, since it uses less digits than its factorization.

3370752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 3370752000 is about 58058.1777185609. The cubic root of 3370752000 is about 1499.3704024416.

The spelling of 3370752000 in words is "three billion, three hundred seventy million, seven hundred fifty-two thousand".