350236013400 has 960 divisors, whose sum is σ = 1537836780480. Its totient is φ = 71887564800.

The previous prime is 350236013371. The next prime is 350236013423. The reversal of 350236013400 is 4310632053.

It is a happy number.

350236013400 is a `hidden beast` number, since 3 + 5 + 0 + 23 + 601 + 34 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54542190 + ... + 54548610.

It is an arithmetic number, because the mean of its divisors is an integer number (1601913313).

Almost surely, 2^350236013400 is an apocalyptic number.

350236013400 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 350236013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768918390240).

350236013400 is an abundant number, since it is smaller than the sum of its proper divisors (1187600767080).

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

350236013400 is a wasteful number, since it uses less digits than its factorization.

350236013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 350236013400 its reverse (4310632053), we get a palindrome (354546645453).

The spelling of 350236013400 in words is "three hundred fifty billion, two hundred thirty-six million, thirteen thousand, four hundred".