3340763136 has 176 divisors, whose sum is σ = 10066327200. Its totient is φ = 1094713344.

The previous prime is 3340763123. The next prime is 3340763137. The reversal of 3340763136 is 6313670433.

3340763136 is a `hidden beast` number, since 334 + 0 + 7 + 6 + 313 + 6 = 666.

It is a super-2 number, since 2×3340763136² = 22321396661713108992, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3340763136.

It is not an unprimeable number, because it can be changed into a prime (3340763137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56623075 + ... + 56623133.

Almost surely, 2^3340763136 is an apocalyptic number.

3340763136 is a gapful number since it is divisible by the number (36) 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 3340763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033163600).

3340763136 is an abundant number, since it is smaller than the sum of its proper divisors (6725564064).

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

3340763136 is an frugal number, since it uses more digits than its factorization.

3340763136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3340763136 is about 57799.3350826807. The cubic root of 3340763136 is about 1494.9106236953.

The spelling of 3340763136 in words is "three billion, three hundred forty million, seven hundred sixty-three thousand, one hundred thirty-six".