3779460000 has 300 divisors, whose sum is σ = 13895616042. Its totient is φ = 1007424000.

The previous prime is 3779459987. The next prime is 3779460049. The reversal of 3779460000 is 649773.

3779460000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 3111696 + 3776348304 = 1764^2 + 61452^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1618834 + ... + 1621166.

Almost surely, 2^3779460000 is an apocalyptic number.

3779460000 is a gapful number since it is divisible by the number (30) 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 3779460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947808021).

3779460000 is an abundant number, since it is smaller than the sum of its proper divisors (10116156042).

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

3779460000 is an equidigital number, since it uses as much as digits as its factorization.

3779460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3779460000 is about 61477.3128885770. The cubic root of 3779460000 is about 1557.6740485356.

The spelling of 3779460000 in words is "three billion, seven hundred seventy-nine million, four hundred sixty thousand".