3690239040 has 224 divisors, whose sum is σ = 13167360000. Its totient is φ = 972804096.

The previous prime is 3690239029. The next prime is 3690239051. The reversal of 3690239040 is 409320963.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3690239029) and next prime (3690239051).

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

It is a junction number, because it is equal to n+sod(n) for n = 3690238986 and 3690239004.

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, 766561 + ... + 771359.

Almost surely, 2^3690239040 is an apocalyptic number.

3690239040 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 3690239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680000).

3690239040 is an abundant number, since it is smaller than the sum of its proper divisors (9477120960).

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

3690239040 is a wasteful number, since it uses less digits than its factorization.

3690239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3690239040 is about 60747.3377194425. The cubic root of 3690239040 is about 1545.3190782213.

The spelling of 3690239040 in words is "three billion, six hundred ninety million, two hundred thirty-nine thousand, forty".