3778076736 has 448 divisors, whose sum is σ = 14162227200. Its totient is φ = 961486848.

The previous prime is 3778076723. The next prime is 3778076737. The reversal of 3778076736 is 6376708773.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3778076737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906525 + ... + 3907491.

Almost surely, 2^3778076736 is an apocalyptic number.

3778076736 is a gapful number since it is divisible by the number (36) 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 3778076736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081113600).

3778076736 is an abundant number, since it is smaller than the sum of its proper divisors (10384150464).

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

3778076736 is a wasteful number, since it uses less digits than its factorization.

3778076736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The square root of 3778076736 is about 61466.0616600738. The cubic root of 3778076736 is about 1557.4839916354.

The spelling of 3778076736 in words is "three billion, seven hundred seventy-eight million, seventy-six thousand, seven hundred thirty-six".