3703872420 has 240 divisors, whose sum is σ = 12140816688. Its totient is φ = 944317440.

The previous prime is 3703872401. The next prime is 3703872421. The reversal of 3703872420 is 242783073.

3703872420 is a `hidden beast` number, since 37 + 0 + 387 + 242 + 0 = 666.

3703872420 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 8 ways, for example, as 901440576 + 2802431844 = 30024^2 + 52938^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3703872421) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3655834 + ... + 3656846.

Almost surely, 2^3703872420 is an apocalyptic number.

3703872420 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 3703872420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070408344).

3703872420 is an abundant number, since it is smaller than the sum of its proper divisors (8436944268).

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

3703872420 is a wasteful number, since it uses less digits than its factorization.

3703872420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3703872420 is about 60859.4480750524. The cubic root of 3703872420 is about 1547.2197708645.

The spelling of 3703872420 in words is "three billion, seven hundred three million, eight hundred seventy-two thousand, four hundred twenty".