3764207961360 has 960 divisors, whose sum is σ = 16480902297600. Its totient is φ = 780874214400.

The previous prime is 3764207961347. The next prime is 3764207961361. The reversal of 3764207961360 is 631697024673.

It is a happy number.

3764207961360 is a `hidden beast` number, since 3 + 76 + 4 + 207 + 9 + 6 + 1 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3764207961297 and 3764207961306.

It is not an unprimeable number, because it can be changed into a prime (3764207961361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 804487501 + ... + 804492179.

It is an arithmetic number, because the mean of its divisors is an integer number (17167606560).

Almost surely, 2^{3764207961360} is an apocalyptic number.

3764207961360 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 3764207961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240451148800).

3764207961360 is an abundant number, since it is smaller than the sum of its proper divisors (12716694336240).

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

3764207961360 is a wasteful number, since it uses less digits than its factorization.

3764207961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3764207961360 in words is "three trillion, seven hundred sixty-four billion, two hundred seven million, nine hundred sixty-one thousand, three hundred sixty".