3778906752 has 96 divisors (see below), whose sum is σ = 10886234580. Its totient is φ = 1258242048.

The previous prime is 3778906723. The next prime is 3778906759. The reversal of 3778906752 is 2576098773.

It can be written as a sum of positive squares in 2 ways, for example, as 3238065216 + 540841536 = 56904^2 + 23256^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3778906752² = 28560272480622379008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3778906759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953978 + ... + 1955910.

Almost surely, 2^3778906752 is an apocalyptic number.

3778906752 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 3778906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443117290).

3778906752 is an abundant number, since it is smaller than the sum of its proper divisors (7107327828).

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

3778906752 is a wasteful number, since it uses less digits than its factorization.

3778906752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 3778906752 is about 61472.8131127899. The cubic root of 3778906752 is about 1557.5980392551.

The spelling of 3778906752 in words is "three billion, seven hundred seventy-eight million, nine hundred six thousand, seven hundred fifty-two".