3973070400 has 168 divisors, whose sum is σ = 14037893184. Its totient is φ = 977971200.

The previous prime is 3973070399. The next prime is 3973070407. The reversal of 3973070400 is 40703793.

It is not an unprimeable number, because it can be changed into a prime (3973070407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30565 + ... + 94235.

It is an arithmetic number, because the mean of its divisors is an integer number (83558888).

Almost surely, 2^3973070400 is an apocalyptic number.

3973070400 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 3973070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018946592).

3973070400 is an abundant number, since it is smaller than the sum of its proper divisors (10064822784).

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

3973070400 is a wasteful number, since it uses less digits than its factorization.

3973070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63709 (or 63694 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 3973070400 is about 63032.2964836281. The cubic root of 3973070400 is about 1583.8306879535.

The spelling of 3973070400 in words is "three billion, nine hundred seventy-three million, seventy thousand, four hundred".