3687269040 has 800 divisors, whose sum is σ = 16283541120. Its totient is φ = 756946944.

The previous prime is 3687268993. The next prime is 3687269041. The reversal of 3687269040 is 409627863.

3687269040 = T₄₄₅ + T₄₄₆ + ... + T₂₈₁₀.

3687269040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687269041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99655902 + ... + 99655938.

Almost surely, 2^3687269040 is an apocalyptic number.

3687269040 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 3687269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141770560).

3687269040 is an abundant number, since it is smaller than the sum of its proper divisors (12596272080).

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

3687269040 is a wasteful number, since it uses less digits than its factorization.

3687269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3687269040 is about 60722.8872831324. The cubic root of 3687269040 is about 1544.9043960071.

The spelling of 3687269040 in words is "three billion, six hundred eighty-seven million, two hundred sixty-nine thousand, forty".