3750282763200 has 1176 divisors, whose sum is σ = 14432872614512. Its totient is φ = 957784227840.

The previous prime is 3750282763189. The next prime is 3750282763217. The reversal of 3750282763200 is 23672820573.

3750282763200 is a `hidden beast` number, since 3 + 7 + 5 + 0 + 2 + 8 + 2 + 7 + 632 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2891504952 + ... + 2891506248.

Almost surely, 2^{3750282763200} is an apocalyptic number.

3750282763200 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 3750282763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216436307256).

3750282763200 is an abundant number, since it is smaller than the sum of its proper divisors (10682589851312).

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

3750282763200 is a wasteful number, since it uses less digits than its factorization.

3750282763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 3750282763200 in words is "three trillion, seven hundred fifty billion, two hundred eighty-two million, seven hundred sixty-three thousand, two hundred".