3749283840 has 288 divisors, whose sum is σ = 12491781120. Its totient is φ = 959938560.

The previous prime is 3749283833. The next prime is 3749283883. The reversal of 3749283840 is 483829473.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3749283840.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29521857 + ... + 29521983.

It is an arithmetic number, because the mean of its divisors is an integer number (43374240).

Almost surely, 2^3749283840 is an apocalyptic number.

3749283840 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 3749283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245890560).

3749283840 is an abundant number, since it is smaller than the sum of its proper divisors (8742497280).

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

3749283840 is a wasteful number, since it uses less digits than its factorization.

3749283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 3749283840 is about 61231.3958684595. The cubic root of 3749283840 is about 1553.5173455412.

The spelling of 3749283840 in words is "three billion, seven hundred forty-nine million, two hundred eighty-three thousand, eight hundred forty".