3786149952 has 336 divisors, whose sum is σ = 12358778432. Its totient is φ = 1142138880.

The previous prime is 3786149929. The next prime is 3786149963. The reversal of 3786149952 is 2599416873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12332583 + ... + 12332889.

Almost surely, 2^3786149952 is an apocalyptic number.

3786149952 is a gapful number since it is divisible by the number (32) 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 3786149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179389216).

3786149952 is an abundant number, since it is smaller than the sum of its proper divisors (8572628480).

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

3786149952 is a wasteful number, since it uses less digits than its factorization.

3786149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 386 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3786149952 is about 61531.6987576322. The cubic root of 3786149952 is about 1558.5925767664.

The spelling of 3786149952 in words is "three billion, seven hundred eighty-six million, one hundred forty-nine thousand, nine hundred fifty-two".