354616009020 has 864 divisors, whose sum is σ = 1418637362688. Its totient is φ = 72754246656.

The previous prime is 354616009019. The next prime is 354616009021. The reversal of 354616009020 is 20900616453.

It is a happy number.

354616009020 is a `hidden beast` number, since 3 + 5 + 46 + 1 + 600 + 9 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (354616009019) and next prime (354616009021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354616009021) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 212726227 + ... + 212727893.

It is an arithmetic number, because the mean of its divisors is an integer number (1641941392).

Almost surely, 2^354616009020 is an apocalyptic number.

354616009020 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 354616009020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709318681344).

354616009020 is an abundant number, since it is smaller than the sum of its proper divisors (1064021353668).

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

354616009020 is a wasteful number, since it uses less digits than its factorization.

354616009020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 354616009020 in words is "three hundred fifty-four billion, six hundred sixteen million, nine thousand, twenty".