3973233420 has 144 divisors (see below), whose sum is σ = 13398158592. Its totient is φ = 946460160.

The previous prime is 3973233377. The next prime is 3973233443. The reversal of 3973233420 is 243323793.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45154 + ... + 99926.

It is an arithmetic number, because the mean of its divisors is an integer number (93042768).

Almost surely, 2^3973233420 is an apocalyptic number.

3973233420 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 3973233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699079296).

3973233420 is an abundant number, since it is smaller than the sum of its proper divisors (9424925172).

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

3973233420 is a wasteful number, since it uses less digits than its factorization.

3973233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54832 (or 54827 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3973233420 is about 63033.5896169653. The cubic root of 3973233420 is about 1583.8523498355.

The spelling of 3973233420 in words is "three billion, nine hundred seventy-three million, two hundred thirty-three thousand, four hundred twenty".