3680642250000 has 315 divisors, whose sum is σ = 12885767931153. Its totient is φ = 980737200000.

The previous prime is 3680642249989. The next prime is 3680642250013. The reversal of 3680642250000 is 522460863.

The square root of 3680642250000 is 1918500.

It is a perfect power (a square), and thus also a powerful number.

3680642250000 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 642 + 2 + 5 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3224595952656 + 456046297344 = 1795716^2 + 675312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2877749361 + ... + 2877750639.

Almost surely, 2^{3680642250000} is an apocalyptic number.

3680642250000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3680642250000 is the 1918500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680642250000

3680642250000 is an abundant number, since it is smaller than the sum of its proper divisors (9205125681153).

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

3680642250000 is an frugal number, since it uses more digits than its factorization.

3680642250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 3680642250000 by its sum of digits (36), we get a square (132503121000000 = 11511000²).

3680642250000 divided by its sum of digits (36) gives a square (102240062500 = 319750²).

The spelling of 3680642250000 in words is "three trillion, six hundred eighty billion, six hundred forty-two million, two hundred fifty thousand".