32295079631376 has 135 divisors (see below), whose sum is σ = 91063000451631. Its totient is φ = 10684443362112.

The previous prime is 32295079631357. The next prime is 32295079631387. The reversal of 32295079631376 is 67313697059223.

The square root of 32295079631376 is 5682876.

It is a perfect power (a square), and thus also a powerful number.

32295079631376 is a `hidden beast` number, since 3 + 2 + 2 + 9 + 507 + 96 + 3 + 1 + 37 + 6 = 666.

It is a super-3 number, since 3×32295079631376³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9479035465 + ... + 9479038871.

Almost surely, 2^{32295079631376} is an apocalyptic number.

32295079631376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32295079631376 is the 5682876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32295079631376

32295079631376 is an abundant number, since it is smaller than the sum of its proper divisors (58767920820255).

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

32295079631376 is an frugal number, since it uses more digits than its factorization.

32295079631376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 32295079631376 in words is "thirty-two trillion, two hundred ninety-five billion, seventy-nine million, six hundred thirty-one thousand, three hundred seventy-six".