348455021040 has 360 divisors, whose sum is σ = 1411707613680. Its totient is φ = 79646644224.

The previous prime is 348455021017. The next prime is 348455021051. The reversal of 348455021040 is 40120554843.

It is a happy number.

348455021040 is a `hidden beast` number, since 3 + 4 + 8 + 45 + 502 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 348455020986 and 348455021004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 769656 + ... + 1135464.

It is an arithmetic number, because the mean of its divisors is an integer number (3921410038).

Almost surely, 2^348455021040 is an apocalyptic number.

348455021040 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 348455021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705853806840).

348455021040 is an abundant number, since it is smaller than the sum of its proper divisors (1063252592640).

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

348455021040 is a wasteful number, since it uses less digits than its factorization.

348455021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365851 (or 365826 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 348455021040 its reverse (40120554843), we get a palindrome (388575575883).

The spelling of 348455021040 in words is "three hundred forty-eight billion, four hundred fifty-five million, twenty-one thousand, forty".