3679598301120 has 2688 divisors, whose sum is σ = 16535570688000. Its totient is φ = 776045297664.

The previous prime is 3679598301097. The next prime is 3679598301149. The reversal of 3679598301120 is 211038959763.

3679598301120 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 598 + 30 + 1 + 12 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 26858381692 + ... + 26858381828.

It is an arithmetic number, because the mean of its divisors is an integer number (6151626000).

Almost surely, 2^{3679598301120} is an apocalyptic number.

3679598301120 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 3679598301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267785344000).

3679598301120 is an abundant number, since it is smaller than the sum of its proper divisors (12855972386880).

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

3679598301120 is a wasteful number, since it uses less digits than its factorization.

3679598301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 3679598301120 in words is "three trillion, six hundred seventy-nine billion, five hundred ninety-eight million, three hundred one thousand, one hundred twenty".