3438616401 has 32 divisors (see below), whose sum is σ = 5884272000. Its totient is φ = 1961418240.

The previous prime is 3438616343. The next prime is 3438616439. The reversal of 3438616401 is 1046168343.

It is a happy number.

3438616401 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 6 + 1 + 640 + 1 = 666.

It is not a de Polignac number, because 3438616401 - 2⁷ = 3438616273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3438616301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335476 + ... + 345573.

It is an arithmetic number, because the mean of its divisors is an integer number (183883500).

Almost surely, 2^3438616401 is an apocalyptic number.

It is an amenable number.

3438616401 is a deficient number, since it is larger than the sum of its proper divisors (2445655599).

3438616401 is a wasteful number, since it uses less digits than its factorization.

3438616401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681086 (or 681080 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3438616401 is about 58639.7169246237. The cubic root of 3438616401 is about 1509.3660483710.

The spelling of 3438616401 in words is "three billion, four hundred thirty-eight million, six hundred sixteen thousand, four hundred one".