3740779920 has 320 divisors, whose sum is σ = 12506628096. Its totient is φ = 923166720.

The previous prime is 3740779901. The next prime is 3740779937. The reversal of 3740779920 is 299770473.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3740779920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29454897 + ... + 29455023.

Almost surely, 2^3740779920 is an apocalyptic number.

3740779920 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 3740779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253314048).

3740779920 is an abundant number, since it is smaller than the sum of its proper divisors (8765848176).

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

3740779920 is a wasteful number, since it uses less digits than its factorization.

3740779920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The square root of 3740779920 is about 61161.9156011320. The cubic root of 3740779920 is about 1552.3419221323.

The spelling of 3740779920 in words is "three billion, seven hundred forty million, seven hundred seventy-nine thousand, nine hundred twenty".