3650974219152 has 560 divisors, whose sum is σ = 11775649570608. Its totient is φ = 1088794275840.

The previous prime is 3650974219099. The next prime is 3650974219153. The reversal of 3650974219152 is 2519124790563.

3650974219152 is a `hidden beast` number, since 3 + 6 + 509 + 7 + 42 + 1 + 91 + 5 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 550825214976 + 3100149004176 = 742176^2 + 1760724^2 .

It is a super-2 number, since 2×3650974219152² (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 not an unprimeable number, because it can be changed into a prime (3650974219153) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 1643841402 + ... + 1643843622.

Almost surely, 2^{3650974219152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3650974219152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887824785304).

3650974219152 is an abundant number, since it is smaller than the sum of its proper divisors (8124675351456).

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

3650974219152 is a wasteful number, since it uses less digits than its factorization.

3650974219152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 3650974219152 in words is "three trillion, six hundred fifty billion, nine hundred seventy-four million, two hundred nineteen thousand, one hundred fifty-two".