354505680 has 160 divisors (see below), whose sum is σ = 1251169920. Its totient is φ = 92206080.

The previous prime is 354505649. The next prime is 354505703. The reversal of 354505680 is 86505453.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86559 + ... + 90561.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^354505680 is an apocalyptic number.

354505680 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 354505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625584960).

354505680 is an abundant number, since it is smaller than the sum of its proper divisors (896664240).

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

354505680 is a wasteful number, since it uses less digits than its factorization.

354505680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 354505680 is about 18828.3212209692. The cubic root of 354505680 is about 707.7410716483.

The spelling of 354505680 in words is "three hundred fifty-four million, five hundred five thousand, six hundred eighty".