363545640 has 96 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 96349056.

The previous prime is 363545557. The next prime is 363545657. The reversal of 363545640 is 46545363.

363545640 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 4 + 5 + 640 = 666.

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 = 363545595 and 363545604.

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, 57097 + ... + 63143.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^363545640 is an apocalyptic number.

363545640 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 363545640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

363545640 is an abundant number, since it is smaller than the sum of its proper divisors (825249240).

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

363545640 is a wasteful number, since it uses less digits than its factorization.

363545640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 363545640 is about 19066.8728427081. The cubic root of 363545640 is about 713.7064914187.

The spelling of 363545640 in words is "three hundred sixty-three million, five hundred forty-five thousand, six hundred forty".