3761734500 has 384 divisors, whose sum is σ = 13265441280. Its totient is φ = 916531200.

The previous prime is 3761734481. The next prime is 3761734531. The reversal of 3761734500 is 54371673.

3761734500 is a `hidden beast` number, since 3 + 7 + 617 + 34 + 5 + 0 + 0 = 666.

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

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, 8491279 + ... + 8491721.

It is an arithmetic number, because the mean of its divisors is an integer number (34545420).

Almost surely, 2^3761734500 is an apocalyptic number.

3761734500 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 3761734500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632720640).

3761734500 is an abundant number, since it is smaller than the sum of its proper divisors (9503706780).

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

3761734500 is a wasteful number, since it uses less digits than its factorization.

3761734500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3761734500 is about 61332.9805243476. The cubic root of 3761734500 is about 1555.2350909197.

The spelling of 3761734500 in words is "three billion, seven hundred sixty-one million, seven hundred thirty-four thousand, five hundred".