3114674640 has 640 divisors, whose sum is σ = 13639127040. Its totient is φ = 634521600.

The previous prime is 3114674611. The next prime is 3114674671. The reversal of 3114674640 is 464764113.

3114674640 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 6 + 7 + 4 + 640 = 666.

It is a super-2 number, since 2×3114674640² = 19402396226118259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3114674595 and 3114674604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10145367 + ... + 10145673.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2^3114674640 is an apocalyptic number.

3114674640 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 3114674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819563520).

3114674640 is an abundant number, since it is smaller than the sum of its proper divisors (10524452400).

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

3114674640 is a wasteful number, since it uses less digits than its factorization.

3114674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3114674640 is about 55809.2701977010. The cubic root of 3114674640 is about 1460.3968771560.

The spelling of 3114674640 in words is "three billion, one hundred fourteen million, six hundred seventy-four thousand, six hundred forty".