3634061967360 has 1088 divisors, whose sum is σ = 14300622040320. Its totient is φ = 879073689600.

The previous prime is 3634061967331. The next prime is 3634061967379. The reversal of 3634061967360 is 637691604363.

3634061967360 is a `hidden beast` number, since 36 + 340 + 61 + 96 + 73 + 60 = 666.

It is a super-2 number, since 2×3634061967360² (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 junction number, because it is equal to n+sod(n) for n = 3634061967297 and 3634061967306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7882997530 + ... + 7882997990.

Almost surely, 2^{3634061967360} is an apocalyptic number.

3634061967360 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 3634061967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150311020160).

3634061967360 is an abundant number, since it is smaller than the sum of its proper divisors (10666560072960).

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

3634061967360 is an frugal number, since it uses more digits than its factorization.

3634061967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 3634061967360 in words is "three trillion, six hundred thirty-four billion, sixty-one million, nine hundred sixty-seven thousand, three hundred sixty".