3477661377147 has 48 divisors (see below), whose sum is σ = 5330429477568. Its totient is φ = 2182045582080.

The previous prime is 3477661377119. The next prime is 3477661377161. The reversal of 3477661377147 is 7417731667743.

3477661377147 is a `hidden beast` number, since 3 + 4 + 7 + 7 + 6 + 613 + 7 + 7 + 1 + 4 + 7 = 666.

It is not a de Polignac number, because 3477661377147 - 2³⁶ = 3408941900411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3477661377187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134568 + ... + 2640725.

It is an arithmetic number, because the mean of its divisors is an integer number (111050614116).

Almost surely, 2^{3477661377147} is an apocalyptic number.

3477661377147 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3477661377147 is a deficient number, since it is larger than the sum of its proper divisors (1852768100421).

3477661377147 is a wasteful number, since it uses less digits than its factorization.

3477661377147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775460 (or 2775457 counting only the distinct ones).

The product of its digits is 87127488, while the sum is 63.

The spelling of 3477661377147 in words is "three trillion, four hundred seventy-seven billion, six hundred sixty-one million, three hundred seventy-seven thousand, one hundred forty-seven".