351623040 has 128 divisors (see below), whose sum is σ = 1147132800. Its totient is φ = 91564032.

The previous prime is 351623029. The next prime is 351623047. The reversal of 351623040 is 40326153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 351623040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351623047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80431 + ... + 84689.

It is an arithmetic number, because the mean of its divisors is an integer number (8961975).

Almost surely, 2^351623040 is an apocalyptic number.

351623040 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 351623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573566400).

351623040 is an abundant number, since it is smaller than the sum of its proper divisors (795509760).

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

351623040 is a wasteful number, since it uses less digits than its factorization.

351623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 351623040 is about 18751.6143305050. The cubic root of 351623040 is about 705.8175315640.

Adding to 351623040 its reverse (40326153), we get a palindrome (391949193).

The spelling of 351623040 in words is "three hundred fifty-one million, six hundred twenty-three thousand, forty".