37849655324160 has 1600 divisors, whose sum is σ = 143245981384704. Its totient is φ = 9539621683200.

The previous prime is 37849655324087. The next prime is 37849655324167. The reversal of 37849655324160 is 6142355694873.

37849655324160 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 96 + 5 + 532 + 4 + 1 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37849655324167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57962718394 + ... + 57962719046.

It is a 3-persistent number, because k⋅37849655324160 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{37849655324160} is an apocalyptic number.

37849655324160 is a gapful number since it is divisible by the number (30) 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 37849655324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71622990692352).

37849655324160 is an abundant number, since it is smaller than the sum of its proper divisors (105396326060544).

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

37849655324160 is a wasteful number, since it uses less digits than its factorization.

37849655324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 37849655324160 in words is "thirty-seven trillion, eight hundred forty-nine billion, six hundred fifty-five million, three hundred twenty-four thousand, one hundred sixty".