354735540 has 72 divisors (see below), whose sum is σ = 1113152040. Its totient is φ = 91332864.

The previous prime is 354735527. The next prime is 354735551. The reversal of 354735540 is 45537453.

354735540 = 243² + 244² + ... + 1025².

354735540 is a `hidden beast` number, since 35 + 4 + 73 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 354267684 = 684^2 + 18822^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 354735495 and 354735504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28759 + ... + 39198.

It is an arithmetic number, because the mean of its divisors is an integer number (15460445).

Almost surely, 2^354735540 is an apocalyptic number.

354735540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354735540 is an abundant number, since it is smaller than the sum of its proper divisors (758416500).

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

354735540 is a wasteful number, since it uses less digits than its factorization.

354735540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68001 (or 67996 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 354735540 is about 18834.4243341813. The cubic root of 354735540 is about 707.8940040496.

The spelling of 354735540 in words is "three hundred fifty-four million, seven hundred thirty-five thousand, five hundred forty".