3764519616 has 336 divisors, whose sum is σ = 12048134400. Its totient is φ = 1027952640.

The previous prime is 3764519611. The next prime is 3764519651. The reversal of 3764519616 is 6169154673.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764519611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18917085 + ... + 18917283.

Almost surely, 2^3764519616 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 3764519616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024067200).

3764519616 is an abundant number, since it is smaller than the sum of its proper divisors (8283614784).

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

3764519616 is a wasteful number, since it uses less digits than its factorization.

3764519616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 3764519616 is about 61355.6812039439. The cubic root of 3764519616 is about 1555.6188183009.

The spelling of 3764519616 in words is "three billion, seven hundred sixty-four million, five hundred nineteen thousand, six hundred sixteen".