3378328925640 has 256 divisors, whose sum is σ = 11660350464000. Its totient is φ = 777356144640.

The previous prime is 3378328925617. The next prime is 3378328925651. The reversal of 3378328925640 is 465298238733.

It is a super-2 number, since 2×3378328925640² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 204250 + ... + 2607369.

It is an arithmetic number, because the mean of its divisors is an integer number (45548244000).

Almost surely, 2^{3378328925640} is an apocalyptic number.

3378328925640 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 3378328925640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830175232000).

3378328925640 is an abundant number, since it is smaller than the sum of its proper divisors (8282021538360).

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

3378328925640 is a wasteful number, since it uses less digits than its factorization.

3378328925640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811700 (or 2811696 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 3378328925640 in words is "three trillion, three hundred seventy-eight billion, three hundred twenty-eight million, nine hundred twenty-five thousand, six hundred forty".