3400872516 has 18 divisors (see below), whose sum is σ = 8596650062. Its totient is φ = 1133624160.

The previous prime is 3400872499. The next prime is 3400872617. The reversal of 3400872516 is 6152780043.

It can be written as a sum of positive squares in only one way, i.e., 1804550400 + 1596322116 = 42480^2 + 39954^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 94468681 = 3400872516 / (3 + 4 + 0 + 0 + 8 + 7 + 2 + 5 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47234305 + ... + 47234376.

Almost surely, 2^3400872516 is an apocalyptic number.

3400872516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3400872516 is an abundant number, since it is smaller than the sum of its proper divisors (5195777546).

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

3400872516 is a wasteful number, since it uses less digits than its factorization.

3400872516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94468691 (or 94468686 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3400872516 is about 58317.0002314934. Note that the first 3 decimals coincide. The cubic root of 3400872516 is about 1503.8232124188.

The spelling of 3400872516 in words is "three billion, four hundred million, eight hundred seventy-two thousand, five hundred sixteen".