3779759970 has 128 divisors (see below), whose sum is σ = 12020244480. Its totient is φ = 826372800.

The previous prime is 3779759969. The next prime is 3779759981. The reversal of 3779759970 is 799579773.

3779759970 is a `hidden beast` number, since 37 + 7 + 9 + 7 + 599 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3779759898 and 3779759907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6 + ... + 86945.

It is an arithmetic number, because the mean of its divisors is an integer number (93908160).

Almost surely, 2^3779759970 is an apocalyptic number.

3779759970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3779759970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010122240).

3779759970 is an abundant number, since it is smaller than the sum of its proper divisors (8240484510).

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

3779759970 is a wasteful number, since it uses less digits than its factorization.

3779759970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86997 (or 86991 counting only the distinct ones).

The product of its (nonzero) digits is 26254935, while the sum is 63.

The square root of 3779759970 is about 61479.7525206470. The cubic root of 3779759970 is about 1557.7152575198.

The spelling of 3779759970 in words is "three billion, seven hundred seventy-nine million, seven hundred fifty-nine thousand, nine hundred seventy".