3379472928 has 288 divisors, whose sum is σ = 10871969472. Its totient is φ = 1026432000.

The previous prime is 3379472861. The next prime is 3379472933. The reversal of 3379472928 is 8292749733.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3379472928² = 22841674542169786368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10209723 + ... + 10210053.

It is an arithmetic number, because the mean of its divisors is an integer number (37749894).

Almost surely, 2^3379472928 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 3379472928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435984736).

3379472928 is an abundant number, since it is smaller than the sum of its proper divisors (7492496544).

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

3379472928 is a wasteful number, since it uses less digits than its factorization.

3379472928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 3379472928 is about 58133.2342812612. The cubic root of 3379472928 is about 1500.6623634734.

The spelling of 3379472928 in words is "three billion, three hundred seventy-nine million, four hundred seventy-two thousand, nine hundred twenty-eight".