3788407464 has 128 divisors (see below), whose sum is σ = 10171008000. Its totient is φ = 1173185024.

The previous prime is 3788407463. The next prime is 3788407559. The reversal of 3788407464 is 4647048873.

It is a happy number.

It is a super-2 number, since 2×3788407464² = 28704062226581822592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3788407463) 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, 2897899 + ... + 2899205.

It is an arithmetic number, because the mean of its divisors is an integer number (79461000).

Almost surely, 2^3788407464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3788407464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085504000).

3788407464 is an abundant number, since it is smaller than the sum of its proper divisors (6382600536).

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

3788407464 is a wasteful number, since it uses less digits than its factorization.

3788407464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The square root of 3788407464 is about 61550.0403249259. The cubic root of 3788407464 is about 1558.9022882503.

The spelling of 3788407464 in words is "three billion, seven hundred eighty-eight million, four hundred seven thousand, four hundred sixty-four".