3787329540 has 96 divisors (see below), whose sum is σ = 10702992384. Its totient is φ = 1000621440.

The previous prime is 3787329529. The next prime is 3787329541. The reversal of 3787329540 is 459237873.

It is a super-2 number, since 2×3787329540² = 28687730089113223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3787329540.

It is not an unprimeable number, because it can be changed into a prime (3787329541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5480595 + ... + 5481285.

It is an arithmetic number, because the mean of its divisors is an integer number (111489504).

Almost surely, 2^3787329540 is an apocalyptic number.

3787329540 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 3787329540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351496192).

3787329540 is an abundant number, since it is smaller than the sum of its proper divisors (6915662844).

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

3787329540 is a wasteful number, since it uses less digits than its factorization.

3787329540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 3787329540 is about 61541.2832170406. The cubic root of 3787329540 is about 1558.7544215803.

The spelling of 3787329540 in words is "three billion, seven hundred eighty-seven million, three hundred twenty-nine thousand, five hundred forty".