351962820 has 120 divisors (see below), whose sum is σ = 1204555968. Its totient is φ = 85320000.

The previous prime is 351962797. The next prime is 351962827. The reversal of 351962820 is 28269153.

351962820 is a `hidden beast` number, since 3 + 5 + 1 + 9 + 628 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (351962827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7945 + ... + 27695.

Almost surely, 2^351962820 is an apocalyptic number.

351962820 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 351962820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602277984).

351962820 is an abundant number, since it is smaller than the sum of its proper divisors (852593148).

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

351962820 is a wasteful number, since it uses less digits than its factorization.

351962820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19783 (or 19772 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 351962820 is about 18760.6721627984. The cubic root of 351962820 is about 706.0448066537.

The spelling of 351962820 in words is "three hundred fifty-one million, nine hundred sixty-two thousand, eight hundred twenty".