37252829952 has 432 divisors, whose sum is σ = 121816251648. Its totient is φ = 10868981760.

The previous prime is 37252829951. The next prime is 37252829987. The reversal of 37252829952 is 25992825273.

37252829952 is a `hidden beast` number, since 3 + 7 + 2 + 528 + 29 + 95 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (37252829951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49210758 + ... + 49211514.

It is an arithmetic number, because the mean of its divisors is an integer number (281982064).

Almost surely, 2^37252829952 is an apocalyptic number.

37252829952 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 37252829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60908125824).

37252829952 is an abundant number, since it is smaller than the sum of its proper divisors (84563421696).

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

37252829952 is a wasteful number, since it uses less digits than its factorization.

37252829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 859 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 37252829952 in words is "thirty-seven billion, two hundred fifty-two million, eight hundred twenty-nine thousand, nine hundred fifty-two".