3735500076 has 144 divisors (see below), whose sum is σ = 11792901120. Its totient is φ = 968578560.

The previous prime is 3735500053. The next prime is 3735500077. The reversal of 3735500076 is 6700055373.

3735500076 is a `hidden beast` number, since 37 + 3 + 550 + 0 + 0 + 76 = 666.

It is a super-3 number, since 3×3735500076³ (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3735500076.

It is not an unprimeable number, because it can be changed into a prime (3735500077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2879460 + ... + 2880756.

Almost surely, 2^3735500076 is an apocalyptic number.

3735500076 is a gapful number since it is divisible by the number (36) 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 3735500076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896450560).

3735500076 is an abundant number, since it is smaller than the sum of its proper divisors (8057401044).

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

3735500076 is a wasteful number, since it uses less digits than its factorization.

3735500076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 3735500076 is about 61118.7375196838. The cubic root of 3735500076 is about 1551.6112382940.

The spelling of 3735500076 in words is "three billion, seven hundred thirty-five million, five hundred thousand, seventy-six".