3340357632 has 312 divisors, whose sum is σ = 10358666240. Its totient is φ = 1035141120.

The previous prime is 3340357627. The next prime is 3340357649. The reversal of 3340357632 is 2367530433.

It is a super-2 number, since 2×3340357632² = 22315978219321294848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42282969 + ... + 42283047.

Almost surely, 2^3340357632 is an apocalyptic number.

3340357632 is a gapful number since it is divisible by the number (32) 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 3340357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179333120).

3340357632 is an abundant number, since it is smaller than the sum of its proper divisors (7018308608).

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

3340357632 is a wasteful number, since it uses less digits than its factorization.

3340357632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The square root of 3340357632 is about 57795.8271158048. The cubic root of 3340357632 is about 1494.8501368404.

The spelling of 3340357632 in words is "three billion, three hundred forty million, three hundred fifty-seven thousand, six hundred thirty-two".