348403150400 has 168 divisors, whose sum is σ = 864149452800. Its totient is φ = 138250506240.

The previous prime is 348403150399. The next prime is 348403150409. The reversal of 348403150400 is 4051304843.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (348403150409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121945772 + ... + 121948628.

Almost surely, 2^348403150400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348403150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432074726400).

348403150400 is an abundant number, since it is smaller than the sum of its proper divisors (515746302400).

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

348403150400 is a wasteful number, since it uses less digits than its factorization.

348403150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 348403150400 in words is "three hundred forty-eight billion, four hundred three million, one hundred fifty thousand, four hundred".