3765242880 has 440 divisors, whose sum is σ = 15431890848. Its totient is φ = 859963392.

The previous prime is 3765242867. The next prime is 3765242893. The reversal of 3765242880 is 882425673.

It is an interprime number because it is at equal distance from previous prime (3765242867) and next prime (3765242893).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902392 + ... + 2903688.

Almost surely, 2^3765242880 is an apocalyptic number.

3765242880 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 3765242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715945424).

3765242880 is an abundant number, since it is smaller than the sum of its proper divisors (11666647968).

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

3765242880 is a wasteful number, since it uses less digits than its factorization.

3765242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3765242880 is about 61361.5749471931. The cubic root of 3765242880 is about 1555.7184371240.

The spelling of 3765242880 in words is "three billion, seven hundred sixty-five million, two hundred forty-two thousand, eight hundred eighty".