3837414420 has 576 divisors, whose sum is σ = 15513120000. Its totient is φ = 780337152.

The previous prime is 3837414379. The next prime is 3837414431. The reversal of 3837414420 is 244147383.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8546356 + ... + 8546804.

It is an arithmetic number, because the mean of its divisors is an integer number (26932500).

Almost surely, 2^3837414420 is an apocalyptic number.

3837414420 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 3837414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560000).

3837414420 is an abundant number, since it is smaller than the sum of its proper divisors (11675705580).

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

3837414420 is a wasteful number, since it uses less digits than its factorization.

3837414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3837414420 is about 61946.8677174238. The cubic root of 3837414420 is about 1565.5955121557.

The spelling of 3837414420 in words is "three billion, eight hundred thirty-seven million, four hundred fourteen thousand, four hundred twenty".