3756135240 has 640 divisors, whose sum is σ = 15177697920. Its totient is φ = 827988480.

The previous prime is 3756135217. The next prime is 3756135259. The reversal of 3756135240 is 425316573.

3756135240 is a `hidden beast` number, since 3 + 7 + 561 + 3 + 52 + 40 = 666.

3756135240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3756135195 and 3756135204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56061687 + ... + 56061753.

It is an arithmetic number, because the mean of its divisors is an integer number (23715153).

Almost surely, 2^3756135240 is an apocalyptic number.

3756135240 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 3756135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588848960).

3756135240 is an abundant number, since it is smaller than the sum of its proper divisors (11421562680).

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

3756135240 is a wasteful number, since it uses less digits than its factorization.

3756135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3756135240 is about 61287.3171218973. The cubic root of 3756135240 is about 1554.4630632066.

The spelling of 3756135240 in words is "three billion, seven hundred fifty-six million, one hundred thirty-five thousand, two hundred forty".