37981980 has 96 divisors (see below), whose sum is σ = 121423680. Its totient is φ = 9849600.

The previous prime is 37981939. The next prime is 37981997. The reversal of 37981980 is 8918973.

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 31 ways as a sum of consecutive naturals, for example, 19030 + ... + 20930.

It is an arithmetic number, because the mean of its divisors is an integer number (1264830).

Almost surely, 2^37981980 is an apocalyptic number.

37981980 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 37981980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60711840).

37981980 is an abundant number, since it is smaller than the sum of its proper divisors (83441700).

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

37981980 is a wasteful number, since it uses less digits than its factorization.

37981980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 37981980 is about 6162.9522146452. The cubic root of 37981980 is about 336.1443894732.

It can be divided in two parts, 3798 and 1980, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 37981980 in words is "thirty-seven million, nine hundred eighty-one thousand, nine hundred eighty".