3388956732 has 288 divisors, whose sum is σ = 10910495232. Its totient is φ = 897785856.

The previous prime is 3388956731. The next prime is 3388956757. The reversal of 3388956732 is 2376598833.

It is a super-2 number, since 2×3388956732² = 22970055462736239648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388956731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9600268 + ... + 9600620.

It is an arithmetic number, because the mean of its divisors is an integer number (37883664).

Almost surely, 2^3388956732 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 3388956732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455247616).

3388956732 is an abundant number, since it is smaller than the sum of its proper divisors (7521538500).

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

3388956732 is a wasteful number, since it uses less digits than its factorization.

3388956732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3388956732 is about 58214.7466884466. The cubic root of 3388956732 is about 1502.0648203737.

The spelling of 3388956732 in words is "three billion, three hundred eighty-eight million, nine hundred fifty-six thousand, seven hundred thirty-two".