3967324553400 has 288 divisors, whose sum is σ = 13685818895280. Its totient is φ = 945068083200.

The previous prime is 3967324553393. The next prime is 3967324553407. The reversal of 3967324553400 is 43554237693.

It is an interprime number because it is at equal distance from previous prime (3967324553393) and next prime (3967324553407).

It is a super-3 number, since 3×3967324553400³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967324553407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7231164 + ... + 7760436.

Almost surely, 2^{3967324553400} is an apocalyptic number.

3967324553400 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 3967324553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842909447640).

3967324553400 is an abundant number, since it is smaller than the sum of its proper divisors (9718494341880).

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

3967324553400 is a wasteful number, since it uses less digits than its factorization.

3967324553400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529367 (or 529327 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 51.

The spelling of 3967324553400 in words is "three trillion, nine hundred sixty-seven billion, three hundred twenty-four million, five hundred fifty-three thousand, four hundred".