37949556994272 has 2880 divisors, whose sum is σ = 153517394257920. Its totient is φ = 8966909952000.

The previous prime is 37949556994241. The next prime is 37949556994277. The reversal of 37949556994272 is 27249965594973.

37949556994272 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 9 + 5 + 569 + 9 + 42 + 7 + 2 = 666.

It is a super-2 number, since 2×37949556994272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 37949556994191 and 37949556994200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37949556994277) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 179855720247 + ... + 179855720457.

It is an arithmetic number, because the mean of its divisors is an integer number (53304650784).

Almost surely, 2^{37949556994272} is an apocalyptic number.

37949556994272 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 37949556994272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76758697128960).

37949556994272 is an abundant number, since it is smaller than the sum of its proper divisors (115567837263648).

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

37949556994272 is a wasteful number, since it uses less digits than its factorization.

37949556994272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 391 counting only the distinct ones).

The product of its digits is 9258883200, while the sum is 81.

The spelling of 37949556994272 in words is "thirty-seven trillion, nine hundred forty-nine billion, five hundred fifty-six million, nine hundred ninety-four thousand, two hundred seventy-two".