346400010 has 192 divisors, whose sum is σ = 1061786880. Its totient is φ = 80150400.

The previous prime is 346399967. The next prime is 346400027. The reversal of 346400010 is 10004643.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 751180 + ... + 751640.

It is an arithmetic number, because the mean of its divisors is an integer number (5530140).

Almost surely, 2^346400010 is an apocalyptic number.

346400010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 346400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530893440).

346400010 is an abundant number, since it is smaller than the sum of its proper divisors (715386870).

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

346400010 is a wasteful number, since it uses less digits than its factorization.

346400010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 346400010 is about 18611.8244672574. The cubic root of 346400010 is about 702.3053314197.

Adding to 346400010 its reverse (10004643), we get a palindrome (356404653).

The spelling of 346400010 in words is "three hundred forty-six million, four hundred thousand, ten".