354323970000 has 4000 divisors, whose sum is σ = 1889899038720. Its totient is φ = 61585920000.

The previous prime is 354323969983. The next prime is 354323970017. The reversal of 354323970000 is 79323453.

354323970000 is a `hidden beast` number, since 3 + 543 + 23 + 97 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (354323969983) and next prime (354323970017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 15405389989 + ... + 15405390011.

Almost surely, 2^354323970000 is an apocalyptic number.

354323970000 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 354323970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944949519360).

354323970000 is an abundant number, since it is smaller than the sum of its proper divisors (1535575068720).

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

354323970000 is a wasteful number, since it uses less digits than its factorization.

354323970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 354323970000 in words is "three hundred fifty-four billion, three hundred twenty-three million, nine hundred seventy thousand".