3765210240 has 384 divisors, whose sum is σ = 13902436800. Its totient is φ = 863723520.

The previous prime is 3765210191. The next prime is 3765210287. The reversal of 3765210240 is 420125673.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3765210198 and 3765210207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4413654 + ... + 4414506.

Almost surely, 2^3765210240 is an apocalyptic number.

3765210240 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 3765210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951218400).

3765210240 is an abundant number, since it is smaller than the sum of its proper divisors (10137226560).

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

3765210240 is a wasteful number, since it uses less digits than its factorization.

3765210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3765210240 is about 61361.3089821265. The cubic root of 3765210240 is about 1555.7139417260.

The spelling of 3765210240 in words is "three billion, seven hundred sixty-five million, two hundred ten thousand, two hundred forty".