3749460624 has 320 divisors, whose sum is σ = 13368033280. Its totient is φ = 979776000.

The previous prime is 3749460599. The next prime is 3749460629. The reversal of 3749460624 is 4260649473.

It is a happy number.

3749460624 is a `hidden beast` number, since 37 + 4 + 9 + 4 + 606 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3749460624.

It is not an unprimeable number, because it can be changed into a prime (3749460629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4992249 + ... + 4992999.

It is an arithmetic number, because the mean of its divisors is an integer number (41775104).

Almost surely, 2^3749460624 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 3749460624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684016640).

3749460624 is an abundant number, since it is smaller than the sum of its proper divisors (9618572656).

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

3749460624 is a wasteful number, since it uses less digits than its factorization.

3749460624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3749460624 is about 61232.8394246094. The cubic root of 3749460624 is about 1553.5417619992.

The spelling of 3749460624 in words is "three billion, seven hundred forty-nine million, four hundred sixty thousand, six hundred twenty-four".