3378207959100 has 720 divisors, whose sum is σ = 12462013317600. Its totient is φ = 784738990080.

The previous prime is 3378207959059. The next prime is 3378207959117. The reversal of 3378207959100 is 19597028733.

3378207959100 is a `hidden beast` number, since 3 + 378 + 207 + 9 + 59 + 10 + 0 = 666.

It is a super-2 number, since 2×3378207959100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 538185162 + ... + 538191438.

It is an arithmetic number, because the mean of its divisors is an integer number (17308351830).

Almost surely, 2^{3378207959100} is an apocalyptic number.

3378207959100 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 3378207959100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231006658800).

3378207959100 is an abundant number, since it is smaller than the sum of its proper divisors (9083805358500).

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

3378207959100 is a wasteful number, since it uses less digits than its factorization.

3378207959100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 3378207959100 in words is "three trillion, three hundred seventy-eight billion, two hundred seven million, nine hundred fifty-nine thousand, one hundred".