3400100667 has 24 divisors (see below), whose sum is σ = 4951065600. Its totient is φ = 2248432560.

The previous prime is 3400100651. The next prime is 3400100689. The reversal of 3400100667 is 7660010043.

It is not a de Polignac number, because 3400100667 - 2⁴ = 3400100651 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3400100667.

It is not an unprimeable number, because it can be changed into a prime (3400100647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618742 + ... + 624212.

It is an arithmetic number, because the mean of its divisors is an integer number (206294400).

Almost surely, 2^3400100667 is an apocalyptic number.

3400100667 is a deficient number, since it is larger than the sum of its proper divisors (1550964933).

3400100667 is a wasteful number, since it uses less digits than its factorization.

3400100667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3400100667 is about 58310.3821544671. The cubic root of 3400100667 is about 1503.7094364922.

The spelling of 3400100667 in words is "three billion, four hundred million, one hundred thousand, six hundred sixty-seven".