363654540 has 144 divisors (see below), whose sum is σ = 1132106976. Its totient is φ = 94464000.

The previous prime is 363654539. The next prime is 363654563. The reversal of 363654540 is 45456363.

363654540 is a `hidden beast` number, since 3 + 63 + 6 + 54 + 540 = 666.

It is a super-2 number, since 2×363654540² = 264489248925223200, which contains 22 as substring.

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 = 363654495 and 363654504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1508820 + ... + 1509060.

It is an arithmetic number, because the mean of its divisors is an integer number (7861854).

Almost surely, 2^363654540 is an apocalyptic number.

363654540 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 363654540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566053488).

363654540 is an abundant number, since it is smaller than the sum of its proper divisors (768452436).

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

363654540 is a wasteful number, since it uses less digits than its factorization.

363654540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

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

The square root of 363654540 is about 19069.7283672317. The cubic root of 363654540 is about 713.7777478342. Note that the first 4 decimals are identical.

The spelling of 363654540 in words is "three hundred sixty-three million, six hundred fifty-four thousand, five hundred forty".