3332642040 has 384 divisors, whose sum is σ = 13913303040. Its totient is φ = 672427008.

The previous prime is 3332641999. The next prime is 3332642077. The reversal of 3332642040 is 402462333.

It is a happy number.

It is a super-2 number, since 2×3332642040² = 22213005933550723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3332641995 and 3332642013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 751269 + ... + 755691.

It is an arithmetic number, because the mean of its divisors is an integer number (36232560).

Almost surely, 2^3332642040 is an apocalyptic number.

3332642040 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 3332642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956651520).

3332642040 is an abundant number, since it is smaller than the sum of its proper divisors (10580661000).

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

3332642040 is a wasteful number, since it uses less digits than its factorization.

3332642040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3332642040 is about 57729.0398326527. The cubic root of 3332642040 is about 1493.6983095387.

The spelling of 3332642040 in words is "three billion, three hundred thirty-two million, six hundred forty-two thousand, forty".