3401886816 has 48 divisors (see below), whose sum is σ = 9922172400. Its totient is φ = 1133961984.

The previous prime is 3401886811. The next prime is 3401886827. The reversal of 3401886816 is 6186881043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401886811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967821 + ... + 1969548.

It is an arithmetic number, because the mean of its divisors is an integer number (206711925).

Almost surely, 2^3401886816 is an apocalyptic number.

3401886816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3401886816 is an abundant number, since it is smaller than the sum of its proper divisors (6520285584).

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

3401886816 is a wasteful number, since it uses less digits than its factorization.

3401886816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937388 (or 3937374 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3401886816 is about 58325.6960181360. The cubic root of 3401886816 is about 1503.9727011417.

The spelling of 3401886816 in words is "three billion, four hundred one million, eight hundred eighty-six thousand, eight hundred sixteen".