354916436279076 has 405 divisors, whose sum is σ = 1056488061589233. Its totient is φ = 100456781584320.

The previous prime is 354916436279039. The next prime is 354916436279081. The reversal of 354916436279076 is 670972634619453.

The square root of 354916436279076 is 18839226.

It is a perfect power (a square), and thus also a powerful number.

354916436279076 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 16 + 436 + 27 + 90 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113764110632676 + 241152325646400 = 10666026^2 + 15529080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 354916436278995 and 354916436279013.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 769883809486 + ... + 769883809946.

Almost surely, 2^{354916436279076} is an apocalyptic number.

354916436279076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

354916436279076 is the 18839226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354916436279076

354916436279076 is an abundant number, since it is smaller than the sum of its proper divisors (701571625310157).

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

354916436279076 is an frugal number, since it uses more digits than its factorization.

354916436279076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 72.

The spelling of 354916436279076 in words is "three hundred fifty-four trillion, nine hundred sixteen billion, four hundred thirty-six million, two hundred seventy-nine thousand, seventy-six".