3967020400 has 180 divisors, whose sum is σ = 11446201920. Its totient is φ = 1316044800.

The previous prime is 3967020391. The next prime is 3967020401. The reversal of 3967020400 is 40207693.

It is a super-3 number, since 3×3967020400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967020401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 604336 + ... + 610864.

Almost surely, 2^3967020400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723100960).

3967020400 is an abundant number, since it is smaller than the sum of its proper divisors (7479181520).

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

3967020400 is a wasteful number, since it uses less digits than its factorization.

3967020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 3967020400 is about 62984.2869293604. The cubic root of 3967020400 is about 1583.0263525509.

The spelling of 3967020400 in words is "three billion, nine hundred sixty-seven million, twenty thousand, four hundred".