3763902504960 has 1344 divisors, whose sum is σ = 15348391269120. Its totient is φ = 877162659840.

The previous prime is 3763902504937. The next prime is 3763902504983. The reversal of 3763902504960 is 694052093673.

3763902504960 is a `hidden beast` number, since 3 + 7 + 63 + 90 + 2 + 5 + 0 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3763902504937) and next prime (3763902504983).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3763902504897 and 3763902504906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2458459395 + ... + 2458460925.

It is an arithmetic number, because the mean of its divisors is an integer number (11419933980).

Almost surely, 2^{3763902504960} is an apocalyptic number.

3763902504960 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 3763902504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674195634560).

3763902504960 is an abundant number, since it is smaller than the sum of its proper divisors (11584488764160).

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

3763902504960 is a wasteful number, since it uses less digits than its factorization.

3763902504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3763902504960 in words is "three trillion, seven hundred sixty-three billion, nine hundred two million, five hundred four thousand, nine hundred sixty".