3642475872 has 96 divisors (see below), whose sum is σ = 10946880000. Its totient is φ = 1038855168.

The previous prime is 3642475871. The next prime is 3642475877. The reversal of 3642475872 is 2785742463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642475871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398004 + ... + 407052.

It is an arithmetic number, because the mean of its divisors is an integer number (114030000).

Almost surely, 2^3642475872 is an apocalyptic number.

3642475872 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 3642475872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473440000).

3642475872 is an abundant number, since it is smaller than the sum of its proper divisors (7304404128).

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

3642475872 is a wasteful number, since it uses less digits than its factorization.

3642475872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9660 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The square root of 3642475872 is about 60352.9276174735. The cubic root of 3642475872 is about 1538.6230273293.

The spelling of 3642475872 in words is "three billion, six hundred forty-two million, four hundred seventy-five thousand, eight hundred seventy-two".