3814742736 has 80 divisors (see below), whose sum is σ = 12513980800. Its totient is φ = 1089925632.

The previous prime is 3814742731. The next prime is 3814742759. The reversal of 3814742736 is 6372474183.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3814742691 and 3814742700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814742731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627721 + ... + 633768.

It is an arithmetic number, because the mean of its divisors is an integer number (156424760).

Almost surely, 2^3814742736 is an apocalyptic number.

3814742736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3814742736 is an abundant number, since it is smaller than the sum of its proper divisors (8699238064).

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

3814742736 is a wasteful number, since it uses less digits than its factorization.

3814742736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261513 (or 1261501 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3814742736 is about 61763.6036513415. The cubic root of 3814742736 is about 1562.5062081972.

The spelling of 3814742736 in words is "three billion, eight hundred fourteen million, seven hundred forty-two thousand, seven hundred thirty-six".