348713400 has 288 divisors, whose sum is σ = 1304046000. Its totient is φ = 76769280.

The previous prime is 348713381. The next prime is 348713411. The reversal of 348713400 is 4317843.

348713400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 852396 + ... + 852804.

Almost surely, 2^348713400 is an apocalyptic number.

348713400 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 348713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652023000).

348713400 is an abundant number, since it is smaller than the sum of its proper divisors (955332600).

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

348713400 is a wasteful number, since it uses less digits than its factorization.

348713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 348713400 is about 18673.8694436906. The cubic root of 348713400 is about 703.8652839248.

The spelling of 348713400 in words is "three hundred forty-eight million, seven hundred thirteen thousand, four hundred".