3657986514 has 384 divisors, whose sum is σ = 11146464000. Its totient is φ = 877879296.

The previous prime is 3657986483. The next prime is 3657986551. The reversal of 3657986514 is 4156897563.

3657986514 is a `hidden beast` number, since 3 + 6 + 579 + 8 + 65 + 1 + 4 = 666.

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 191 ways as a sum of consecutive naturals, for example, 18953202 + ... + 18953394.

It is an arithmetic number, because the mean of its divisors is an integer number (29027250).

Almost surely, 2^3657986514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3657986514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573232000).

3657986514 is an abundant number, since it is smaller than the sum of its proper divisors (7488477486).

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

3657986514 is a wasteful number, since it uses less digits than its factorization.

3657986514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 3657986514 is about 60481.2906112295. The cubic root of 3657986514 is about 1540.8038915843.

The spelling of 3657986514 in words is "three billion, six hundred fifty-seven million, nine hundred eighty-six thousand, five hundred fourteen".