37085165472 has 96 divisors (see below), whose sum is σ = 98124264000. Its totient is φ = 12263436288.

The previous prime is 37085165449. The next prime is 37085165473. The reversal of 37085165472 is 27456158073.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (37085165473) 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, 20868648 + ... + 20870424.

It is an arithmetic number, because the mean of its divisors is an integer number (1022127750).

Almost surely, 2^37085165472 is an apocalyptic number.

37085165472 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 37085165472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49062132000).

37085165472 is an abundant number, since it is smaller than the sum of its proper divisors (61039098528).

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

37085165472 is a wasteful number, since it uses less digits than its factorization.

37085165472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 37085165472 in words is "thirty-seven billion, eighty-five million, one hundred sixty-five thousand, four hundred seventy-two".