3388921536 has 504 divisors, whose sum is σ = 12400696560. Its totient is φ = 808980480.

The previous prime is 3388921531. The next prime is 3388921541. The reversal of 3388921536 is 6351298833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3388921531) and next prime (3388921541).

It is a super-2 number, since 2×3388921536² = 22969578354329198592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388921531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14798670 + ... + 14798898.

Almost surely, 2^3388921536 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 3388921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200348280).

3388921536 is an abundant number, since it is smaller than the sum of its proper divisors (9011775024).

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

3388921536 is a wasteful number, since it uses less digits than its factorization.

3388921536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 3388921536 is about 58214.4443931229. Note that the first 3 decimals coincide. The cubic root of 3388921536 is about 1502.0596204591.

The spelling of 3388921536 in words is "three billion, three hundred eighty-eight million, nine hundred twenty-one thousand, five hundred thirty-six".