3749634720 has 384 divisors, whose sum is σ = 14250297600. Its totient is φ = 915369984.

The previous prime is 3749634677. The next prime is 3749634739. The reversal of 3749634720 is 274369473.

3749634720 is a `hidden beast` number, since 3 + 7 + 4 + 9 + 634 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10052454 + ... + 10052826.

It is an arithmetic number, because the mean of its divisors is an integer number (37110150).

Almost surely, 2^3749634720 is an apocalyptic number.

3749634720 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 3749634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125148800).

3749634720 is an abundant number, since it is smaller than the sum of its proper divisors (10500662880).

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

3749634720 is a wasteful number, since it uses less digits than its factorization.

3749634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3749634720 is about 61234.2609982353. The cubic root of 3749634720 is about 1553.5658064549.

The spelling of 3749634720 in words is "three billion, seven hundred forty-nine million, six hundred thirty-four thousand, seven hundred twenty".