354001950 has 72 divisors (see below), whose sum is σ = 961880400. Its totient is φ = 93329280.

The previous prime is 354001943. The next prime is 354001957. The reversal of 354001950 is 59100453.

It is an interprime number because it is at equal distance from previous prime (354001943) and next prime (354001957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354001957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35631 + ... + 44469.

It is an arithmetic number, because the mean of its divisors is an integer number (13359450).

Almost surely, 2^354001950 is an apocalyptic number.

354001950 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 354001950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480940200).

354001950 is an abundant number, since it is smaller than the sum of its proper divisors (607878450).

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

354001950 is a wasteful number, since it uses less digits than its factorization.

354001950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 354001950 is about 18814.9395428208. The cubic root of 354001950 is about 707.4056944145.

The spelling of 354001950 in words is "three hundred fifty-four million, one thousand, nine hundred fifty".