3749000640 has 448 divisors, whose sum is σ = 15214445568. Its totient is φ = 759398400.

The previous prime is 3749000639. The next prime is 3749000641. The reversal of 3749000640 is 460009473.

It is an interprime number because it is at equal distance from previous prime (3749000639) and next prime (3749000641).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3749000641) 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, 3030102 + ... + 3031338.

It is an arithmetic number, because the mean of its divisors is an integer number (33960816).

Almost surely, 2^3749000640 is an apocalyptic number.

3749000640 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 3749000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607222784).

3749000640 is an abundant number, since it is smaller than the sum of its proper divisors (11465444928).

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

3749000640 is a wasteful number, since it uses less digits than its factorization.

3749000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3749000640 is about 61229.0832856413. The cubic root of 3749000640 is about 1553.4782298764.

The spelling of 3749000640 in words is "three billion, seven hundred forty-nine million, six hundred forty", and thus it is an aban number.