3782623968 has 192 divisors, whose sum is σ = 11989555200. Its totient is φ = 1155824640.

The previous prime is 3782623909. The next prime is 3782623973. The reversal of 3782623968 is 8693262873.

It is a happy number.

3782623968 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 623 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505180 + ... + 512612.

It is an arithmetic number, because the mean of its divisors is an integer number (62445600).

Almost surely, 2^3782623968 is an apocalyptic number.

3782623968 is a gapful number since it is divisible by the number (38) 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 3782623968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994777600).

3782623968 is an abundant number, since it is smaller than the sum of its proper divisors (8206931232).

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

3782623968 is a wasteful number, since it uses less digits than its factorization.

3782623968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7488 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3782623968 is about 61503.0403150934. The cubic root of 3782623968 is about 1558.1085952881.

The spelling of 3782623968 in words is "three billion, seven hundred eighty-two million, six hundred twenty-three thousand, nine hundred sixty-eight".