3973322430 has 256 divisors, whose sum is σ = 13271040000. Its totient is φ = 821819520.

The previous prime is 3973322429. The next prime is 3973322461. The reversal of 3973322430 is 342233793.

It is a happy number.

It is a super-2 number, since 2×3973322430² = 31574582265482209800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7962321 + ... + 7962819.

It is an arithmetic number, because the mean of its divisors is an integer number (51840000).

Almost surely, 2^3973322430 is an apocalyptic number.

3973322430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3973322430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635520000).

3973322430 is an abundant number, since it is smaller than the sum of its proper divisors (9297717570).

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

3973322430 is a wasteful number, since it uses less digits than its factorization.

3973322430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

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

The square root of 3973322430 is about 63034.2956651377. The cubic root of 3973322430 is about 1583.8641771166.

The spelling of 3973322430 in words is "three billion, nine hundred seventy-three million, three hundred twenty-two thousand, four hundred thirty".