3403461457890 has 448 divisors, whose sum is σ = 10518570316800. Its totient is φ = 785106266112.

The previous prime is 3403461457889. The next prime is 3403461457939. The reversal of 3403461457890 is 987541643043.

3403461457890 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 4 + 61 + 4 + 578 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 385046091 + ... + 385054929.

It is an arithmetic number, because the mean of its divisors is an integer number (23478951600).

Almost surely, 2^{3403461457890} is an apocalyptic number.

3403461457890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403461457890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259285158400).

3403461457890 is an abundant number, since it is smaller than the sum of its proper divisors (7115108858910).

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

3403461457890 is a wasteful number, since it uses less digits than its factorization.

3403461457890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3403461457890 in words is "three trillion, four hundred three billion, four hundred sixty-one million, four hundred fifty-seven thousand, eight hundred ninety".