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3706425000 = 23335517219
BaseRepresentation
bin1101110011101011…
…1000111010101000
3100120022021220021000
43130322320322220
530042321100000
61411441315000
7160564043535
oct33472707250
910508256230
103706425000
1116321a8a63
12875335a60
13470b631b5
14272373d8c
1516a5d5000
hexdceb8ea8

3706425000 has 576 divisors, whose sum is σ = 14389704000. Its totient is φ = 881280000.

The previous prime is 3706424941. The next prime is 3706425001. The reversal of 3706425000 is 5246073.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3706425001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195074991 + ... + 195075009.

It is an arithmetic number, because the mean of its divisors is an integer number (24982125).

Almost surely, 23706425000 is an apocalyptic number.

3706425000 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 3706425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194852000).

3706425000 is an abundant number, since it is smaller than the sum of its proper divisors (10683279000).

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

3706425000 is a wasteful number, since it uses less digits than its factorization.

3706425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3706425000 is about 60880.4155701979. The cubic root of 3706425000 is about 1547.5751192566.

The spelling of 3706425000 in words is "three billion, seven hundred six million, four hundred twenty-five thousand".