3736774440 has 384 divisors, whose sum is σ = 14482540800. Its totient is φ = 817827840.

The previous prime is 3736774423. The next prime is 3736774453. The reversal of 3736774440 is 444776373.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6095574 + ... + 6096186.

It is an arithmetic number, because the mean of its divisors is an integer number (37714950).

Almost surely, 2^3736774440 is an apocalyptic number.

3736774440 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 3736774440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241270400).

3736774440 is an abundant number, since it is smaller than the sum of its proper divisors (10745766360).

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

3736774440 is a wasteful number, since it uses less digits than its factorization.

3736774440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The square root of 3736774440 is about 61129.1619441981. The cubic root of 3736774440 is about 1551.7876620349.

The spelling of 3736774440 in words is "three billion, seven hundred thirty-six million, seven hundred seventy-four thousand, four hundred forty".