3400891872 has 192 divisors, whose sum is σ = 10729635840. Its totient is φ = 922166784.

The previous prime is 3400891867. The next prime is 3400891919. The reversal of 3400891872 is 2781980043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147593 + ... + 2149175.

It is an arithmetic number, because the mean of its divisors is an integer number (55883520).

Almost surely, 2^3400891872 is an apocalyptic number.

3400891872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400891872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364817920).

3400891872 is an abundant number, since it is smaller than the sum of its proper divisors (7328743968).

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

3400891872 is a wasteful number, since it uses less digits than its factorization.

3400891872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3400891872 is about 58317.1661862954. The cubic root of 3400891872 is about 1503.8260654069.

The spelling of 3400891872 in words is "three billion, four hundred million, eight hundred ninety-one thousand, eight hundred seventy-two".