3478137984 has 96 divisors (see below), whose sum is σ = 10597511340. Its totient is φ = 1091174400.

The previous prime is 3478137979. The next prime is 3478138019. The reversal of 3478137984 is 4897318743.

It can be written as a sum of positive squares in 2 ways, for example, as 3448977984 + 29160000 = 58728^2 + 5400^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3478137984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69217 + ... + 108384.

Almost surely, 2^3478137984 is an apocalyptic number.

3478137984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3478137984 is an abundant number, since it is smaller than the sum of its proper divisors (7119373356).

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

3478137984 is a wasteful number, since it uses less digits than its factorization.

3478137984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177638 (or 177623 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3478137984 is about 58975.7406396901. The cubic root of 3478137984 is about 1515.1266449696.

The spelling of 3478137984 in words is "three billion, four hundred seventy-eight million, one hundred thirty-seven thousand, nine hundred eighty-four".