3386492928 has 384 divisors, whose sum is σ = 12364934400. Its totient is φ = 891813888.

The previous prime is 3386492903. The next prime is 3386492953. The reversal of 3386492928 is 8292946833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3386492903) and next prime (3386492953).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3386492928² = 22936668702788026368, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5031600 + ... + 5032272.

It is an arithmetic number, because the mean of its divisors is an integer number (32200350).

Almost surely, 2^3386492928 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 3386492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182467200).

3386492928 is an abundant number, since it is smaller than the sum of its proper divisors (8978441472).

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

3386492928 is a wasteful number, since it uses less digits than its factorization.

3386492928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 698 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3386492928 is about 58193.5815017430. The cubic root of 3386492928 is about 1501.7007269564.

The spelling of 3386492928 in words is "three billion, three hundred eighty-six million, four hundred ninety-two thousand, nine hundred twenty-eight".