3751465396900 has 243 divisors, whose sum is σ = 9035102275689. Its totient is φ = 1351408431360.

The previous prime is 3751465396867. The next prime is 3751465396907. The reversal of 3751465396900 is 96935641573.

It is a happy number.

The square root of 3751465396900 is 1936870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3437175097444 + 314290299456 = 1853962^2 + 560616^2 .

It is a super-2 number, since 2×3751465396900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3751465396907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11834275542 + ... + 11834275858.

Almost surely, 2^{3751465396900} is an apocalyptic number.

3751465396900 is the 1936870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3751465396900

3751465396900 is an abundant number, since it is smaller than the sum of its proper divisors (5283636878789).

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

3751465396900 is a wasteful number, since it uses less digits than its factorization.

3751465396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 58.

The spelling of 3751465396900 in words is "three trillion, seven hundred fifty-one billion, four hundred sixty-five million, three hundred ninety-six thousand, nine hundred".