3719780100 has 243 divisors, whose sum is σ = 12421475157. Its totient is φ = 930951360.

The previous prime is 3719780027. The next prime is 3719780123. The reversal of 3719780100 is 10879173.

The square root of 3719780100 is 60990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1339120836 + 2380659264 = 36594^2 + 48792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34764247 + ... + 34764353.

Almost surely, 2^3719780100 is an apocalyptic number.

3719780100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3719780100 is the 60990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3719780100

3719780100 is an abundant number, since it is smaller than the sum of its proper divisors (8701695057).

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

3719780100 is a wasteful number, since it uses less digits than its factorization.

3719780100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The cubic root of 3719780100 is about 1549.4316473283.

Multiplying 3719780100 by its sum of digits (36), we get a square (133912083600 = 365940²).

3719780100 divided by its sum of digits (36) gives a square (103327225 = 10165²).

The spelling of 3719780100 in words is "three billion, seven hundred nineteen million, seven hundred eighty thousand, one hundred".