3141624672 has 72 divisors (see below), whose sum is σ = 9151931880. Its totient is φ = 1021662720.

The previous prime is 3141624641. The next prime is 3141624691. The reversal of 3141624672 is 2764261413.

3141624672 is a `hidden beast` number, since 31 + 4 + 162 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121222 + ... + 144837.

It is an arithmetic number, because the mean of its divisors is an integer number (127110165).

Almost surely, 2^3141624672 is an apocalyptic number.

3141624672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3141624672 is an abundant number, since it is smaller than the sum of its proper divisors (6010307208).

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

3141624672 is a wasteful number, since it uses less digits than its factorization.

3141624672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266116 (or 266105 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3141624672 is about 56050.1977873406. The cubic root of 3141624672 is about 1464.5968631424.

The spelling of 3141624672 in words is "three billion, one hundred forty-one million, six hundred twenty-four thousand, six hundred seventy-two".