3765348864 has 240 divisors, whose sum is σ = 11841429600. Its totient is φ = 1147281408.

The previous prime is 3765348863. The next prime is 3765348871. The reversal of 3765348864 is 4688435673.

Its product of digits (11612160) is a multiple of the sum of its prime divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 3765348864.

It is not an unprimeable number, because it can be changed into a prime (3765348863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2538267 + ... + 2539749.

It is an arithmetic number, because the mean of its divisors is an integer number (49339290).

Almost surely, 2^3765348864 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 3765348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920714800).

3765348864 is an abundant number, since it is smaller than the sum of its proper divisors (8076080736).

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

3765348864 is a wasteful number, since it uses less digits than its factorization.

3765348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1536 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3765348864 is about 61362.4385434608. The cubic root of 3765348864 is about 1555.7330337668.

The spelling of 3765348864 in words is "three billion, seven hundred sixty-five million, three hundred forty-eight thousand, eight hundred sixty-four".