3699288720 has 240 divisors, whose sum is σ = 13412355840. Its totient is φ = 910930944.

The previous prime is 3699288713. The next prime is 3699288727. The reversal of 3699288720 is 278829963.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3699288713) and next prime (3699288727).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (3699288727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476389 + ... + 484091.

It is an arithmetic number, because the mean of its divisors is an integer number (55884816).

Almost surely, 2^3699288720 is an apocalyptic number.

3699288720 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 3699288720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706177920).

3699288720 is an abundant number, since it is smaller than the sum of its proper divisors (9713067120).

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

3699288720 is a wasteful number, since it uses less digits than its factorization.

3699288720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3699288720 is about 60821.7783363821. The cubic root of 3699288720 is about 1546.5812572568.

The spelling of 3699288720 in words is "three billion, six hundred ninety-nine million, two hundred eighty-eight thousand, seven hundred twenty".