3756135460 has 384 divisors, whose sum is σ = 11054776320. Its totient is φ = 1036800000.

The previous prime is 3756135421. The next prime is 3756135541. The reversal of 3756135460 is 645316573.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37189410 + ... + 37189510.

It is an arithmetic number, because the mean of its divisors is an integer number (28788480).

Almost surely, 2^3756135460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3756135460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527388160).

3756135460 is an abundant number, since it is smaller than the sum of its proper divisors (7298640860).

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

3756135460 is a wasteful number, since it uses less digits than its factorization.

3756135460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The square root of 3756135460 is about 61287.3189167221. The cubic root of 3756135460 is about 1554.4630935553.

The spelling of 3756135460 in words is "three billion, seven hundred fifty-six million, one hundred thirty-five thousand, four hundred sixty".