3731761000 has 96 divisors (see below), whose sum is σ = 9598647240. Its totient is φ = 1356960000.

The previous prime is 3731760983. The next prime is 3731761009. The reversal of 3731761000 is 1671373.

It can be written as a sum of positive squares in 4 ways, for example, as 1679852196 + 2051908804 = 40986^2 + 45298^2 .

It is a super-2 number, since 2×3731761000² = 27852080322242000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3731761000.

It is not an unprimeable number, because it can be changed into a prime (3731761009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105580 + ... + 136420.

Almost surely, 2^3731761000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3731761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799323620).

3731761000 is an abundant number, since it is smaller than the sum of its proper divisors (5866886240).

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

3731761000 is a wasteful number, since it uses less digits than its factorization.

3731761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30884 (or 30859 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 3731761000 is about 61088.1412387052. The cubic root of 3731761000 is about 1551.0933666109.

The spelling of 3731761000 in words is "three billion, seven hundred thirty-one million, seven hundred sixty-one thousand".