3679355262240 has 1728 divisors, whose sum is σ = 15943780419840. Its totient is φ = 785818423296.

The previous prime is 3679355262239. The next prime is 3679355262257. The reversal of 3679355262240 is 422625539763.

3679355262240 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 3 + 5 + 5 + 2 + 622 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50402126844 + ... + 50402126916.

It is an arithmetic number, because the mean of its divisors is an integer number (9226724780).

Almost surely, 2^{3679355262240} is an apocalyptic number.

3679355262240 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 3679355262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971890209920).

3679355262240 is an abundant number, since it is smaller than the sum of its proper divisors (12264425157600).

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

3679355262240 is an frugal number, since it uses more digits than its factorization.

3679355262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 3679355262240 in words is "three trillion, six hundred seventy-nine billion, three hundred fifty-five million, two hundred sixty-two thousand, two hundred forty".