351999648 has 576 divisors, whose sum is σ = 1426440960. Its totient is φ = 82114560.

The previous prime is 351999619. The next prime is 351999673. The reversal of 351999648 is 846999153.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 351999594 and 351999603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9513486 + ... + 9513522.

It is an arithmetic number, because the mean of its divisors is an integer number (2476460).

Almost surely, 2^351999648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351999648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713220480).

351999648 is an abundant number, since it is smaller than the sum of its proper divisors (1074441312).

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

351999648 is a wasteful number, since it uses less digits than its factorization.

351999648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 351999648 is about 18761.6536584599. The cubic root of 351999648 is about 706.0694317086.

It can be divided in two parts, 351 and 999648, that added together give a palindrome (999999).

The spelling of 351999648 in words is "three hundred fifty-one million, nine hundred ninety-nine thousand, six hundred forty-eight".