3395920608990 has 512 divisors, whose sum is σ = 11773917388800. Its totient is φ = 685340434944.

The previous prime is 3395920608979. The next prime is 3395920609001. The reversal of 3395920608990 is 998060295933.

3395920608990 is a `hidden beast` number, since 3 + 39 + 592 + 0 + 6 + 0 + 8 + 9 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3395920608979) and next prime (3395920609001).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45736816 + ... + 45811004.

It is an arithmetic number, because the mean of its divisors is an integer number (22995932400).

Almost surely, 2^{3395920608990} is an apocalyptic number.

3395920608990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395920608990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886958694400).

3395920608990 is an abundant number, since it is smaller than the sum of its proper divisors (8377996779810).

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

3395920608990 is a wasteful number, since it uses less digits than its factorization.

3395920608990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74260 (or 74242 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 3395920608990 in words is "three trillion, three hundred ninety-five billion, nine hundred twenty million, six hundred eight thousand, nine hundred ninety".