3695288490240 has 288 divisors, whose sum is σ = 12014501772672. Its totient is φ = 967704576000.

The previous prime is 3695288490239. The next prime is 3695288490251. The reversal of 3695288490240 is 420948825963.

It is a super-2 number, since 2×3695288490240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 150135535 + ... + 150160145.

It is an arithmetic number, because the mean of its divisors is an integer number (41717020044).

Almost surely, 2^{3695288490240} is an apocalyptic number.

3695288490240 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 3695288490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007250886336).

3695288490240 is an abundant number, since it is smaller than the sum of its proper divisors (8319213282432).

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

3695288490240 is a wasteful number, since it uses less digits than its factorization.

3695288490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25337 (or 25323 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 3695288490240 in words is "three trillion, six hundred ninety-five billion, two hundred eighty-eight million, four hundred ninety thousand, two hundred forty".