37142296352 has 162 divisors, whose sum is σ = 88458363441. Its totient is φ = 15306520320.

The previous prime is 37142296351. The next prime is 37142296361. The reversal of 37142296352 is 25369224173.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 35477982736 + 1664313616 = 188356^2 + 40796^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=136276.

It is not an unprimeable number, because it can be changed into a prime (37142296351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 236575058 + ... + 236575214.

Almost surely, 2^37142296352 is an apocalyptic number.

37142296352 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 37142296352

37142296352 is an abundant number, since it is smaller than the sum of its proper divisors (51316067089).

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

37142296352 is an equidigital number, since it uses as much as digits as its factorization.

37142296352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 197 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The spelling of 37142296352 in words is "thirty-seven billion, one hundred forty-two million, two hundred ninety-six thousand, three hundred fifty-two".