353873940 has 96 divisors (see below), whose sum is σ = 1148442624. Its totient is φ = 79739520.

The previous prime is 353873909. The next prime is 353873941. The reversal of 353873940 is 49378353.

It is a happy number.

It is a super-2 number, since 2×353873940² = 250453530822247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 353873892 and 353873901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353873941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23887 + ... + 35753.

It is an arithmetic number, because the mean of its divisors is an integer number (11962944).

Almost surely, 2^353873940 is an apocalyptic number.

353873940 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 353873940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574221312).

353873940 is an abundant number, since it is smaller than the sum of its proper divisors (794568684).

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

353873940 is a wasteful number, since it uses less digits than its factorization.

353873940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 353873940 is about 18811.5374172341. The cubic root of 353873940 is about 707.3204162399.

The spelling of 353873940 in words is "three hundred fifty-three million, eight hundred seventy-three thousand, nine hundred forty".