3614768640 has 640 divisors, whose sum is σ = 15210455040. Its totient is φ = 796262400.

The previous prime is 3614768587. The next prime is 3614768653. The reversal of 3614768640 is 468674163.

It is a happy number.

3614768640 is a `hidden beast` number, since 3 + 61 + 476 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998920 + ... + 14999160.

It is an arithmetic number, because the mean of its divisors is an integer number (23766336).

Almost surely, 2^3614768640 is an apocalyptic number.

3614768640 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 3614768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605227520).

3614768640 is an abundant number, since it is smaller than the sum of its proper divisors (11595686400).

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

3614768640 is a wasteful number, since it uses less digits than its factorization.

3614768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3614768640 is about 60122.9460356027. The cubic root of 3614768640 is about 1534.7118105676.

The spelling of 3614768640 in words is "three billion, six hundred fourteen million, seven hundred sixty-eight thousand, six hundred forty".