351624786240 has 896 divisors, whose sum is σ = 1429125562368. Its totient is φ = 71252213760.

The previous prime is 351624786229. The next prime is 351624786277. The reversal of 351624786240 is 42687426153.

It is a super-3 number, since 3×351624786240³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 351624786240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 425180707 + ... + 425181533.

It is an arithmetic number, because the mean of its divisors is an integer number (1595006208).

Almost surely, 2^351624786240 is an apocalyptic number.

351624786240 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 351624786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714562781184).

351624786240 is an abundant number, since it is smaller than the sum of its proper divisors (1077500776128).

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

351624786240 is a wasteful number, since it uses less digits than its factorization.

351624786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 351624786240 in words is "three hundred fifty-one billion, six hundred twenty-four million, seven hundred eighty-six thousand, two hundred forty".