3679342507008 has 2640 divisors, whose sum is σ = 14637707251200. Its totient is φ = 912994467840.

The previous prime is 3679342506893. The next prime is 3679342507121. The reversal of 3679342507008 is 8007052439763.

3679342507008 is a `hidden beast` number, since 3 + 6 + 7 + 93 + 42 + 507 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×3679342507008² (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, 69421556710 + ... + 69421556762.

It is an arithmetic number, because the mean of its divisors is an integer number (5544586080).

Almost surely, 2^{3679342507008} is an apocalyptic number.

3679342507008 is a gapful number since it is divisible by the number (38) 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 3679342507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318853625600).

3679342507008 is an abundant number, since it is smaller than the sum of its proper divisors (10958364744192).

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

3679342507008 is a wasteful number, since it uses less digits than its factorization.

3679342507008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3679342507008 in words is "three trillion, six hundred seventy-nine billion, three hundred forty-two million, five hundred seven thousand, eight".