3380931840 has 576 divisors, whose sum is σ = 13054390272. Its totient is φ = 734822400.

The previous prime is 3380931817. The next prime is 3380931859. The reversal of 3380931840 is 481390833.

It is a super-2 number, since 2×3380931840² = 22861400213451571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25808575 + ... + 25808705.

It is an arithmetic number, because the mean of its divisors is an integer number (22663872).

Almost surely, 2^3380931840 is an apocalyptic number.

3380931840 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 3380931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527195136).

3380931840 is an abundant number, since it is smaller than the sum of its proper divisors (9673458432).

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

3380931840 is a wasteful number, since it uses less digits than its factorization.

3380931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3380931840 is about 58145.7809303478. The cubic root of 3380931840 is about 1500.8782767640.

It can be divided in two parts, 338093 and 1840, that added together give a palindrome (339933).

The spelling of 3380931840 in words is "three billion, three hundred eighty million, nine hundred thirty-one thousand, eight hundred forty".