37952216280 has 864 divisors, whose sum is σ = 149386844880. Its totient is φ = 8656243200.

The previous prime is 37952216249. The next prime is 37952216317. The reversal of 37952216280 is 8261225973.

37952216280 is a `hidden beast` number, since 37 + 9 + 522 + 16 + 2 + 80 = 666.

It is a super-3 number, since 3×37952216280³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 622167450 + ... + 622167510.

Almost surely, 2^37952216280 is an apocalyptic number.

37952216280 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 37952216280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74693422440).

37952216280 is an abundant number, since it is smaller than the sum of its proper divisors (111434628600).

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

37952216280 is a wasteful number, since it uses less digits than its factorization.

37952216280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 37952216280 in words is "thirty-seven billion, nine hundred fifty-two million, two hundred sixteen thousand, two hundred eighty".