3749004000 has 1152 divisors, whose sum is σ = 17171481600. Its totient is φ = 783820800.

The previous prime is 3749003989. The next prime is 3749004011. The reversal of 3749004000 is 4009473.

It is an interprime number because it is at equal distance from previous prime (3749003989) and next prime (3749004011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129275986 + ... + 129276014.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^3749004000 is an apocalyptic number.

3749004000 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 3749004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585740800).

3749004000 is an abundant number, since it is smaller than the sum of its proper divisors (13422477600).

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

3749004000 is a wasteful number, since it uses less digits than its factorization.

3749004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3749004000 is about 61229.1107235766. The cubic root of 3749004000 is about 1553.4786939721.

The spelling of 3749004000 in words is "three billion, seven hundred forty-nine million, four thousand".