3777834420 has 36 divisors (see below), whose sum is σ = 11459431620. Its totient is φ = 1007422464.

The previous prime is 3777834343. The next prime is 3777834451. The reversal of 3777834420 is 244387773.

3777834420 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 2 ways, for example, as 1237069584 + 2540764836 = 35172^2 + 50406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10493805 + ... + 10494164.

It is an arithmetic number, because the mean of its divisors is an integer number (318317545).

Almost surely, 2^3777834420 is an apocalyptic number.

3777834420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3777834420 is an abundant number, since it is smaller than the sum of its proper divisors (7681597200).

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

3777834420 is a wasteful number, since it uses less digits than its factorization.

3777834420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20987984 (or 20987979 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 3777834420 is about 61464.0904919287. The cubic root of 3777834420 is about 1557.4506932682.

The spelling of 3777834420 in words is "three billion, seven hundred seventy-seven million, eight hundred thirty-four thousand, four hundred twenty".