354012000 has 96 divisors (see below), whose sum is σ = 1159782624. Its totient is φ = 94400000.

The previous prime is 354011993. The next prime is 354012017. The reversal of 354012000 is 210453.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×354012000² = 250648992288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2751 + ... + 26750.

It is an arithmetic number, because the mean of its divisors is an integer number (12081069).

Almost surely, 2^354012000 is an apocalyptic number.

354012000 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 354012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579891312).

354012000 is an abundant number, since it is smaller than the sum of its proper divisors (805770624).

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

354012000 is a wasteful number, since it uses less digits than its factorization.

354012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29529 (or 29511 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 354012000 is about 18815.2066159264. The cubic root of 354012000 is about 707.4123886902.

Adding to 354012000 its reverse (210453), we get a palindrome (354222453).

It can be divided in two parts, 35401 and 2000, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 354012000 in words is "three hundred fifty-four million, twelve thousand".