37282268625 has 288 divisors, whose sum is σ = 79423628544. Its totient is φ = 15429120000.

The previous prime is 37282268587. The next prime is 37282268627. The reversal of 37282268625 is 52686228273.

It is not a de Polignac number, because 37282268625 - 2¹⁵ = 37282235857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (3870720) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (37282268627) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 525102340 + ... + 525102410.

It is an arithmetic number, because the mean of its divisors is an integer number (275776488).

Almost surely, 2^37282268625 is an apocalyptic number.

37282268625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37282268625 is an abundant number, since it is smaller than the sum of its proper divisors (42141359919).

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

37282268625 is a wasteful number, since it uses less digits than its factorization.

37282268625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 144 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 37282268625 in words is "thirty-seven billion, two hundred eighty-two million, two hundred sixty-eight thousand, six hundred twenty-five".