3479761929744 has 75 divisors (see below), whose sum is σ = 10071634954557. Its totient is φ = 1159898258304.

The previous prime is 3479761929731. The next prime is 3479761929769. The reversal of 3479761929744 is 4479291679743.

The square root of 3479761929744 is 1865412.

It is a perfect power (a square), and thus also a powerful number.

3479761929744 is a `hidden beast` number, since 3 + 479 + 7 + 61 + 9 + 2 + 97 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1279025283600 + 2200736646144 = 1130940^2 + 1483488^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 67128924 + ... + 67180740.

Almost surely, 2^{3479761929744} is an apocalyptic number.

3479761929744 is the 1865412-nd square number.

It is an amenable number.

3479761929744 is an abundant number, since it is smaller than the sum of its proper divisors (6591873024813).

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

3479761929744 is an frugal number, since it uses more digits than its factorization.

3479761929744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103654 (or 51822 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 3479761929744 in words is "three trillion, four hundred seventy-nine billion, seven hundred sixty-one million, nine hundred twenty-nine thousand, seven hundred forty-four".