3400057672 has 64 divisors (see below), whose sum is σ = 7232068800. Its totient is φ = 1484394240.

The previous prime is 3400057663. The next prime is 3400057673. The reversal of 3400057672 is 2767500043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3400057673) 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 15 ways as a sum of consecutive naturals, for example, 499363 + ... + 506125.

It is an arithmetic number, because the mean of its divisors is an integer number (113001075).

Almost surely, 2^3400057672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400057672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616034400).

3400057672 is an abundant number, since it is smaller than the sum of its proper divisors (3832011128).

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

3400057672 is a wasteful number, since it uses less digits than its factorization.

3400057672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 3400057672 is about 58310.0134796760. The cubic root of 3400057672 is about 1503.7030982231.

The spelling of 3400057672 in words is "three billion, four hundred million, fifty-seven thousand, six hundred seventy-two".