3897293400 has 1152 divisors, whose sum is σ = 18523814400. Its totient is φ = 740275200.

The previous prime is 3897293381. The next prime is 3897293459. The reversal of 3897293400 is 43927983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37837749 + ... + 37837851.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2^3897293400 is an apocalyptic number.

3897293400 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 3897293400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261907200).

3897293400 is an abundant number, since it is smaller than the sum of its proper divisors (14626521000).

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

3897293400 is a wasteful number, since it uses less digits than its factorization.

3897293400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3897293400 is about 62428.3060798545. The cubic root of 3897293400 is about 1573.6966996042.

It can be divided in two parts, 389729 and 3400, that added together give a square (393129 = 627²).

The spelling of 3897293400 in words is "three billion, eight hundred ninety-seven million, two hundred ninety-three thousand, four hundred".