363034353354420 has 288 divisors, whose sum is σ = 1190281346634240. Its totient is φ = 82371774355200.

The previous prime is 363034353354383. The next prime is 363034353354427. The reversal of 363034353354420 is 24453353430363.

It is a happy number.

It is a super-2 number, since 2×363034353354420² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 363034353354420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363034353354427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4405366 + ... + 27303405.

It is an arithmetic number, because the mean of its divisors is an integer number (4132921342480).

Almost surely, 2^{363034353354420} is an apocalyptic number.

363034353354420 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 363034353354420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595140673317120).

363034353354420 is an abundant number, since it is smaller than the sum of its proper divisors (827246993279820).

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

363034353354420 is a wasteful number, since it uses less digits than its factorization.

363034353354420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31708907 (or 31708894 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 48.

The spelling of 363034353354420 in words is "three hundred sixty-three trillion, thirty-four billion, three hundred fifty-three million, three hundred fifty-four thousand, four hundred twenty".