3973350600 has 216 divisors, whose sum is σ = 13794170130. Its totient is φ = 1024934400.

The previous prime is 3973350559. The next prime is 3973350607. The reversal of 3973350600 is 60533793.

It can be written as a sum of positive squares in 3 ways, for example, as 2889492516 + 1083858084 = 53754^2 + 32922^2 .

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 (3973350607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1728652 + ... + 1730948.

Almost surely, 2^3973350600 is an apocalyptic number.

3973350600 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 3973350600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897085065).

3973350600 is an abundant number, since it is smaller than the sum of its proper divisors (9820819530).

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

3973350600 is a wasteful number, since it uses less digits than its factorization.

3973350600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 3973350600 is about 63034.5191145296. The cubic root of 3973350600 is about 1583.8679201930.

The spelling of 3973350600 in words is "three billion, nine hundred seventy-three million, three hundred fifty thousand, six hundred".