3997700843400 has 1536 divisors, whose sum is σ = 15809320281600. Its totient is φ = 931627008000.

The previous prime is 3997700843377. The next prime is 3997700843407. The reversal of 3997700843400 is 43480077993.

3997700843400 is a `hidden beast` number, since 3 + 9 + 97 + 70 + 0 + 84 + 3 + 400 = 666.

It is a super-2 number, since 2×3997700843400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3997700843407) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15555256072 + ... + 15555256328.

It is an arithmetic number, because the mean of its divisors is an integer number (10292526225).

Almost surely, 2^{3997700843400} is an apocalyptic number.

3997700843400 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 3997700843400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904660140800).

3997700843400 is an abundant number, since it is smaller than the sum of its proper divisors (11811619438200).

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

3997700843400 is a wasteful number, since it uses less digits than its factorization.

3997700843400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3997700843400 in words is "three trillion, nine hundred ninety-seven billion, seven hundred million, eight hundred forty-three thousand, four hundred".