3377472000 has 480 divisors, whose sum is σ = 13098983040. Its totient is φ = 769843200.

The previous prime is 3377471989. The next prime is 3377472031. The reversal of 3377472000 is 2747733.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3377472000² = 22814634221568000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9407821 + ... + 9408179.

It is an arithmetic number, because the mean of its divisors is an integer number (27289548).

Almost surely, 2^3377472000 is an apocalyptic number.

3377472000 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 3377472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549491520).

3377472000 is an abundant number, since it is smaller than the sum of its proper divisors (9721511040).

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

3377472000 is an equidigital number, since it uses as much as digits as its factorization.

3377472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 33.

The square root of 3377472000 is about 58116.0218872558. The cubic root of 3377472000 is about 1500.3661328461.

The spelling of 3377472000 in words is "three billion, three hundred seventy-seven million, four hundred seventy-two thousand".