3672457152 has 112 divisors (see below), whose sum is σ = 11959084032. Its totient is φ = 968555520.

The previous prime is 3672457109. The next prime is 3672457157. The reversal of 3672457152 is 2517542763.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3672457152² = 26973883066551902208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672457157) 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, 87624 + ... + 122567.

It is an arithmetic number, because the mean of its divisors is an integer number (106777536).

Almost surely, 2^3672457152 is an apocalyptic number.

3672457152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3672457152 is an abundant number, since it is smaller than the sum of its proper divisors (8286626880).

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

3672457152 is a wasteful number, since it uses less digits than its factorization.

3672457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210226 (or 210216 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 3672457152 is about 60600.8015788570. The cubic root of 3672457152 is about 1542.8329749693.

The spelling of 3672457152 in words is "three billion, six hundred seventy-two million, four hundred fifty-seven thousand, one hundred fifty-two".